Review Journal 7 Page 57
|
|
- Lesley Hunter
- 5 years ago
- Views:
Transcription
1 Student Checklist Unit 1 - Trigonometry 1 1A Prerequisites: I can use the Pythagorean Theorem to solve a missing side of a right triangle. Note p. 2 1B Prerequisites: I can convert within the imperial and metric systems. Side Lengths: I can use primary trig ratios to determine the side lengths of right triangles. Angles: I can use primary trig ratios to determine the side lengths of right triangles. Applications: I can use primary trig ratios to solve word questions Obtuse Angles: I can calculate obtuse angles using supplementary angle theorem. Sine Law: I can use the sine law to calculate angles and sides in non-right triangles. Cosine Law: I can use the cosine law to calculate angles and sides in non-right triangles. Problem Solving I can determine whether to use SOH CAH TOA, Sine Law or the Cosine Law to solve triangles. Note p.3 and worksheet Note Review Journal 7 Page 57 p8 # 2-4 Journal 1 Note p9 #5,6 Journal 2 Note p9 #7-9,11,12,16 Journal 3 Note p. 19 #2-6 p 23# 5-7, 10 Journal 4 Note p. 31#5,11, 13, Journal 5 Note p. 38 #4, 7, 10, 13, 18 Journal 6 Note p. 47 # 4, 6, 7, 8, 12 Page 54 #1,3,14,18,20,22,26,28
2 1A prerequisite Goal I can use the Pythagorean theorem to solve a missing side of a right triangle. I can convert within the imperial and metric systems. Review of Basic Measurement Pythagorean Theorem need a right angle triangle use it to find a side length Examples: Find the missing side. 1. 2' 5" 31" m 20cm 3. 21ft 15ft
3 1B Preskills Review of Metric Measurement The basic units of metric measurement are: grams mass (weight) litres liquid (volume) metres length Prefixes are added to the above units. The most common are kilo, hecto, deka, deci, centi, and milli. Moving from one "prefix" to the next is 10. ie. multiply/divide by 10. K H D U D C M Kids Hide Dirty under wear Down Covered Manholes When you move When you move x 10 for each prefix 10 for each prefix Metric Conversions Examples: K H D U D C M km to metres ml to litres Examples:
4 1B Preskills Imperial Conversions 1 foot = 12 inches 1 yard = 36 inches 1 yard = 3 feet 1 mile = 5280 feet Shortforms inches in ; " feet ft ; ' yard yd mile mi 1 mile = 1760 yards Examples: 1. 5' 5" to feet yd to mi.
5 2 Side Lengths Goal I can use primary trig ratios to determine the side lengths of right triangles. Primary Trigonometric Ratios The study of trigonometry, is the study of the measurements of triangles. The following is review of what you should already know. The 3 trig ratios are: sine cosine tangent θ Labelling Sides of Triangles Hy O A SOH CAH TOA
6 2 Side Lengths Finding Side Lengths 1. Determine the measure of the missing sides. a) b) 25 o y 88'
7 3 Angles Goal I can use primary trig ratios to determine angles. Using you calculator: Find the following angles: a) sinθ = b) cosθ = c) tanθ = Solving for Angles Example: 1. Determine the measure of angle A.
8 3 Angles 2. 14' x 3yd 3. 3" x 1.5"
9 3 Applications Goal I can use primary trig ratios to solve real world type questions. Applications Terminology Often surveyors use the angle of elevation or the angle of depression to describe positions of objects. The angle of elevation is always measured from the horizontal up. It is always INSIDE the triangle. The angle of depression is always OUTSIDE the triangle. It is never inside the triangle. 1
10 3 Applications Examples: 1. A 6' ladder leans against a wall. The angle formed by the ladder and the ground is 71 o. a) How far is the foot of the ladder from the wall? b) How far up the wall does the ladder reach? 2
11 3 Applications 2. A cabin is 125 m from the base of a 100m cliff. What is the angle of depression from the top of the cliff to the cabin? 3
12 5 Obtuse Angles Goal I can calculate the measure of obtuse angles given the ratio. Obtuse Angles sine, cosine, tangent Investigation: Calculate the following trigonometric ratios to 4 decimal places. sin 25 o = cos 25 o = tan 25 o = The supplementary angle of 25 o = Find the sin, cos, and tan, of the supplementary angle. sin o= cos o= tan o= Choose another acute angle and determine the primary trig ratios. sin o= cos o= tan o= Determine the supplementary of the angle you chose from above. Determine the ratio of the supplementary angle. sin o= cos o= tan o= 1
13 5 Obtuse Angles Conclusions: When a θ is acute, the ratios for sine, cosine, and tangent are When a θ is obtuse (greater than 90 o ), the ratios for sine is cosine is tangent is When converting from a sine ratio to an angle, Examples: 1. State if the ratio will be positive or negative. sin58 o cos152 o cos48 0 tan91 o sin148 o 2. Determine the value(s) of θ. a) cos θ = b) sin θ = c) tan θ =
14 6 Sine Law Goal I can use the Sine Law to solve angles and side lengths in non right triangles. The Sine Law = = OR = = Use the sine law if you have the following: two angles and any side or two sides and the angle opposite one of these sides HINTS: 1. If given 2 angles, calculate the 3rd 2. Check to make sure you have an angle and its opposite side 1
15 6 Sine Law Examples: 1. Solve for s 2. Find the measure of angle θ. a) b) 2
16 7 Cosine Law Goal I can use the Cosine Law to find angles and side lengths in non right triangles. The Cosine Law OR a 2 = b 2 + c 2 2bc cosa Use the cosine law when you know one of the following: The measures of 3 sides The measures of 2 sides and their contained angle Examples: 1. Determine the length of n in MNP. 25cm N 105 o 13cm M n P 1
17 7 Cosine Law 2. Determine the measure of <C in BCD. C 500ft B 750ft 650ft D 3. An air traffic controller at T is tracking two planes, U and V, flying at the same altitude. How far apart are the planes? N 10.7mi U t T 23 o 75o 15.3mi V 2
18 8 Problem Solving Problem Solving Often 2 or more steps may be needed to solve a triangle problem. Sketch a diagram The sum of angles in any triangle is 180 o Right Triangle Oblique Triangle Pythagorean Theorem Primary Trig Ratios Sine Law Cosine Law Examples: 1. 1
19 8 Problem Solving At an excavation site, points A,B, andc have been marked. The measure of angle C is 132 o. Points A and C are 4.2 m apart. Points B and C are 5.7 m apart. How far apart are points A and B? 2
Ch. 2 Trigonometry Notes
First Name: Last Name: Block: Ch. Trigonometry Notes.0 PRE-REQUISITES: SOLVING RIGHT TRIANGLES.1 ANGLES IN STANDARD POSITION 6 Ch..1 HW: p. 83 #1,, 4, 5, 7, 9, 10, 8. - TRIGONOMETRIC FUNCTIONS OF AN ANGLE
More information2.0 Trigonometry Review Date: Pythagorean Theorem: where c is always the.
2.0 Trigonometry Review Date: Key Ideas: The three angles in a triangle sum to. Pythagorean Theorem: where c is always the. In trigonometry problems, all vertices (corners or angles) of the triangle are
More information7.1/7.2 Apply the Pythagorean Theorem and its Converse
7.1/7.2 Apply the Pythagorean Theorem and its Converse Remember what we know about a right triangle: In a right triangle, the square of the length of the is equal to the sum of the squares of the lengths
More informationChapter 3: Right Triangle Trigonometry
10C Name: Chapter 3: Right Triangle Trigonometry 3.1 The Tangent Ratio Outcome : Develop and apply the tangent ratio to solve problems that involve right triangles. Definitions: Adjacent side: the side
More informationAngles of a Triangle. Activity: Show proof that the sum of the angles of a triangle add up to Finding the third angle of a triangle
Angles of a Triangle Activity: Show proof that the sum of the angles of a triangle add up to 180 0 Finding the third angle of a triangle Pythagorean Theorem Is defined as the square of the length of the
More informationLesson 10.1 TRIG RATIOS AND COMPLEMENTARY ANGLES PAGE 231
1 Lesson 10.1 TRIG RATIOS AND COMPLEMENTARY ANGLES PAGE 231 What is Trigonometry? 2 It is defined as the study of triangles and the relationships between their sides and the angles between these sides.
More informationUNIT 9 - RIGHT TRIANGLES AND TRIG FUNCTIONS
UNIT 9 - RIGHT TRIANGLES AND TRIG FUNCTIONS Converse of the Pythagorean Theorem Objectives: SWBAT use the converse of the Pythagorean Theorem to solve problems. SWBAT use side lengths to classify triangles
More informationName: Unit 8 Right Triangles and Trigonometry Unit 8 Similarity and Trigonometry. Date Target Assignment Done!
Unit 8 Similarity and Trigonometry Date Target Assignment Done! M 1-22 8.1a 8.1a Worksheet T 1-23 8.1b 8.1b Worksheet W 1-24 8.2a 8.2a Worksheet R 1-25 8.2b 8.2b Worksheet F 1-26 Quiz Quiz 8.1-8.2 M 1-29
More informationAlgebra II. Slide 1 / 92. Slide 2 / 92. Slide 3 / 92. Trigonometry of the Triangle. Trig Functions
Slide 1 / 92 Algebra II Slide 2 / 92 Trigonometry of the Triangle 2015-04-21 www.njctl.org Trig Functions click on the topic to go to that section Slide 3 / 92 Trigonometry of the Right Triangle Inverse
More informationA lg e b ra II. Trig o n o m e try o f th e Tria n g le
1 A lg e b ra II Trig o n o m e try o f th e Tria n g le 2015-04-21 www.njctl.org 2 Trig Functions click on the topic to go to that section Trigonometry of the Right Triangle Inverse Trig Functions Problem
More informationG.8 Right Triangles STUDY GUIDE
G.8 Right Triangles STUDY GUIDE Name Date Block Chapter 7 Right Triangles Review and Study Guide Things to Know (use your notes, homework, quizzes, textbook as well as flashcards at quizlet.com (http://quizlet.com/4216735/geometry-chapter-7-right-triangles-flashcardsflash-cards/)).
More informationAssignment Guide: Chapter 8 Geometry (L3)
Assignment Guide: Chapter 8 Geometry (L3) (91) 8.1 The Pythagorean Theorem and Its Converse Page 495-497 #7-31 odd, 37-47 odd (92) 8.2 Special Right Triangles Page 503-504 #7-12, 15-20, 23-28 (93) 8.2
More informationGeometry. Chapter 7 Right Triangles and Trigonometry. Name Period
Geometry Chapter 7 Right Triangles and Trigonometry Name Period 1 Chapter 7 Right Triangles and Trigonometry ***In order to get full credit for your assignments they must me done on time and you must SHOW
More informationUnit 2: Trigonometry. This lesson is not covered in your workbook. It is a review of trigonometry topics from previous courses.
Unit 2: Trigonometry This lesson is not covered in your workbook. It is a review of trigonometry topics from previous courses. Pythagorean Theorem Recall that, for any right angled triangle, the square
More informationChapter 4: Triangle and Trigonometry
Chapter 4: Triangle and Trigonometry Paper 1 & 2B 3.1.3 Triangles 3.1.3 Triangles 2A Understand a proof of Pythagoras Theorem. Understand the converse of Pythagoras Theorem. Use Pythagoras Trigonometry
More informationAlgebra II. Chapter 13 Notes Sections 13.1 & 13.2
Algebra II Chapter 13 Notes Sections 13.1 & 13.2 Name Algebra II 13.1 Right Triangle Trigonometry Day One Today I am using SOHCAHTOA and special right triangle to solve trig problems. I am successful
More informationUNIT 5 TRIGONOMETRY Lesson 5.4: Calculating Sine, Cosine, and Tangent. Instruction. Guided Practice 5.4. Example 1
Lesson : Calculating Sine, Cosine, and Tangent Guided Practice Example 1 Leo is building a concrete pathway 150 feet long across a rectangular courtyard, as shown in the following figure. What is the length
More informationUnit 1 Trigonometry. Topics and Assignments. General Outcome: Develop spatial sense and proportional reasoning. Specific Outcomes:
1 Unit 1 Trigonometry General Outcome: Develop spatial sense and proportional reasoning. Specific Outcomes: 1.1 Develop and apply the primary trigonometric ratios (sine, cosine, tangent) to solve problems
More informationTrigonometry Ratios. For each of the right triangles below, the labelled angle is equal to 40. Why then are these triangles similar to each other?
Name: Trigonometry Ratios A) An Activity with Similar Triangles Date: For each of the right triangles below, the labelled angle is equal to 40. Why then are these triangles similar to each other? Page
More informationAWM 11 UNIT 4 TRIGONOMETRY OF RIGHT TRIANGLES
AWM 11 UNIT 4 TRIGONOMETRY OF RIGHT TRIANGLES Assignment Title Work to complete Complete 1 Triangles Labelling Triangles 2 Pythagorean Theorem Exploring Pythagorean Theorem 3 More Pythagorean Theorem Using
More informationPacket Unit 5 Right Triangles Honors Common Core Math 2 1
Packet Unit 5 Right Triangles Honors Common Core Math 2 1 Day 1 HW Find the value of each trigonometric ratio. Write the ratios for sinp, cosp, and tanp. Remember to simplify! 9. 10. 11. Packet Unit 5
More informationAssignment. Pg. 567 #16-33, even pg 577 # 1-17 odd, 32-37
Assignment Intro to Ch. 8 8.1 8. Da 1 8. Da 8. Da 1 8. Da Review Quiz 8. Da 1 8. Da 8. Etra Practice 8.5 8.5 In-class project 8.6 Da 1 8.6 Da Ch. 8 review Worksheet Worksheet Worksheet Worksheet Worksheet
More informationFinding Angles and Solving Right Triangles NEW SKILLS: WORKING WITH INVERSE TRIGONOMETRIC RATIOS. Calculate each angle to the nearest degree.
324 MathWorks 10 Workbook 7.5 Finding Angles and Solving Right Triangles NEW SKILLS: WORKING WITH INVERSE TRIGONOMETRIC RATIOS The trigonometric ratios discussed in this chapter are unaffected by the size
More informationChapter 2 Trigonometry
Foundations of Math 11 Chapter 2 Note Package Chapter 2 Lesson 1 Review (No Practice Questions for this Lesson) Page 1 The Beauty of Triangles (No Notes for this Page) Page 2 Pythagoras Review (No Notes
More informationSM 2. Date: Section: Objective: The Pythagorean Theorem: In a triangle, or
SM 2 Date: Section: Objective: The Pythagorean Theorem: In a triangle, or. It doesn t matter which leg is a and which leg is b. The hypotenuse is the side across from the right angle. To find the length
More informationGeometry- Unit 6 Notes. Simplifying Radicals
Geometry- Unit 6 Notes Name: Review: Evaluate the following WITHOUT a calculator. a) 2 2 b) 3 2 c) 4 2 d) 5 2 e) 6 2 f) 7 2 g) 8 2 h) 9 2 i) 10 2 j) 2 2 k) ( 2) 2 l) 2 0 Simplifying Radicals n r Example
More informationYou ll use the six trigonometric functions of an angle to do this. In some cases, you will be able to use properties of the = 46
Math 1330 Section 6.2 Section 7.1: Right-Triangle Applications In this section, we ll solve right triangles. In some problems you will be asked to find one or two specific pieces of information, but often
More informationTrigonometric Ratios and Functions
Algebra 2/Trig Unit 8 Notes Packet Name: Date: Period: # Trigonometric Ratios and Functions (1) Worksheet (Pythagorean Theorem and Special Right Triangles) (2) Worksheet (Special Right Triangles) (3) Page
More informationUnit No: F3HW 11. Unit Title: Maths Craft 2. 4 Trigonometry Sine and Cosine Rules. Engineering and Construction
Unit No: F3HW 11 Unit Title: Maths Craft 4 Trigonometry Sine and Cosine Rules SINE AND COSINE RULES TRIGONOMETRIC RATIOS Remember: The word SOH CAH TOA is a helpful reminder. In any right-angled triangle,
More informationMCR3U UNIT #6: TRIGONOMETRY
MCR3U UNIT #6: TRIGONOMETRY SECTION PAGE NUMBERS HOMEWORK Prerequisite p. 0 - # 3 Skills 4. p. 8-9 #4, 5, 6, 7, 8, 9,, 4. p. 37 39 #bde, acd, 3, 4acde, 5, 6ace, 7, 8, 9, 0,, 4.3 p. 46-47 #aef,, 3, 4, 5defgh,
More informationAW Math 10 UNIT 7 RIGHT ANGLE TRIANGLES
AW Math 10 UNIT 7 RIGHT ANGLE TRIANGLES Assignment Title Work to complete Complete 1 Triangles Labelling Triangles 2 Pythagorean Theorem 3 More Pythagorean Theorem Eploring Pythagorean Theorem Using Pythagorean
More informationObjectives: After completing this section, you should be able to do the following: Calculate the lengths of sides and angles of a right triangle using
Ch 13 - RIGHT TRIANGLE TRIGONOMETRY Objectives: After completing this section, you should be able to do the following: Calculate the lengths of sides and angles of a right triangle using trigonometric
More informationLesson Title 2: Problem TK Solving with Trigonometric Ratios
Part UNIT RIGHT solving TRIANGLE equations TRIGONOMETRY and inequalities Lesson Title : Problem TK Solving with Trigonometric Ratios Georgia Performance Standards MMG: Students will define and apply sine,
More informationChapter 6 Review. Extending Skills with Trigonometry. Check Your Understanding
hapter 6 Review Extending Skills with Trigonometry heck Your Understanding. Explain why the sine law holds true for obtuse angle triangles as well as acute angle triangles. 2. What dimensions of a triangle
More informationCh 8: Right Triangles and Trigonometry 8-1 The Pythagorean Theorem and Its Converse 8-2 Special Right Triangles 8-3 The Tangent Ratio
Ch 8: Right Triangles and Trigonometry 8-1 The Pythagorean Theorem and Its Converse 8- Special Right Triangles 8-3 The Tangent Ratio 8-1: The Pythagorean Theorem and Its Converse Focused Learning Target:
More informationTheorem 8-1-1: The three altitudes in a right triangle will create three similar triangles
G.T. 7: state and apply the relationships that exist when the altitude is drawn to the hypotenuse of a right triangle. Understand and use the geometric mean to solve for missing parts of triangles. 8-1
More informationWarm-Up Up Exercises. Use this diagram for Exercises If PR = 12 and m R = 19, find p. ANSWER If m P = 58 and r = 5, find p.
Warm-Up Up Exercises Use this diagram for Exercises 1 4. 1. If PR = 12 and m R = 19, find p. ANSWER 11.3 2. If m P = 58 and r = 5, find p. ANSWER 8.0 Warm-Up Up Exercises Use this diagram for Exercises
More informationPre-calculus Chapter 4 Part 1 NAME: P.
Pre-calculus NAME: P. Date Day Lesson Assigned Due 2/12 Tuesday 4.3 Pg. 284: Vocab: 1-3. Ex: 1, 2, 7-13, 27-32, 43, 44, 47 a-c, 57, 58, 63-66 (degrees only), 69, 72, 74, 75, 78, 79, 81, 82, 86, 90, 94,
More informationBe sure to label all answers and leave answers in exact simplified form.
Pythagorean Theorem word problems Solve each of the following. Please draw a picture and use the Pythagorean Theorem to solve. Be sure to label all answers and leave answers in exact simplified form. 1.
More information3.0 Trigonometry Review
3.0 Trigonometry Review In trigonometry problems, all vertices (corners or angles) of the triangle are labeled with capital letters. The right angle is usually labeled C. Sides are usually labeled with
More informationCumulative Review: SOHCAHTOA and Angles of Elevation and Depression
Cumulative Review: SOHCAHTOA and Angles of Elevation and Depression Part 1: Model Problems The purpose of this worksheet is to provide students the opportunity to review the following topics in right triangle
More informationDay 4 Trig Applications HOMEWORK
Day 4 Trig Applications HOMEWORK 1. In ΔABC, a = 0, b = 1, and mc = 44º a) Find the length of side c to the nearest integer. b) Find the area of ΔABC to the nearest tenth.. In ΔABC, ma = 50º, a = 40, b
More informationUnit 3 Trigonometry. Topic: Review of Necessary Skills
Lesson18.notebook Unit 3 Trigonometry Topic: Review of Necessary Skills Learning Goal: I can successfully use Pythagorean theorem and the primary trigonometric ratios and extend them to real world applications.
More informationRight Triangle Trigonometry
Right Triangle Trigonometry 1 The six trigonometric functions of a right triangle, with an acute angle, are defined by ratios of two sides of the triangle. hyp opp The sides of the right triangle are:
More informationUnit 8 Similarity and Trigonometry
Unit 8 Similarity and Trigonometry Target 8.1: Prove and apply properties of similarity in triangles using AA~, SSS~, SAS~ 8.1a Prove Triangles Similar by AA ~, SSS~, SAS~ 8.1b Use Proportionality Theorems
More informationChapter 7. Right Triangles and Trigonometry
hapter 7 Right Triangles and Trigonometry 7.1 pply the Pythagorean Theorem 7.2 Use the onverse of the Pythagorean Theorem 7.3 Use Similar Right Triangles 7.4 Special Right Triangles 7.5 pply the Tangent
More informationAccel. Geometry - Concepts Similar Figures, Right Triangles, Trigonometry
Accel. Geometry - Concepts 16-19 Similar Figures, Right Triangles, Trigonometry Concept 16 Ratios and Proportions (Section 7.1) Ratio: Proportion: Cross-Products Property If a b = c, then. d Properties
More informationDAY 1 - GEOMETRY FLASHBACK
DAY 1 - GEOMETRY FLASHBACK Sine Opposite Hypotenuse Cosine Adjacent Hypotenuse sin θ = opp. hyp. cos θ = adj. hyp. tan θ = opp. adj. Tangent Opposite Adjacent a 2 + b 2 = c 2 csc θ = hyp. opp. sec θ =
More informationCongruence and Similarity in Triangles Pg. 378 # 1, 4 8, 12. Solving Similar Triangle Problems Pg. 386 # 2-12
UNIT 7 SIMILAR TRIANGLES AND TRIGONOMETRY Date Lesson TOPIC Homework May 4 7.1 7.1 May 8 7.2 7.2 Congruence and Similarity in Triangles Pg. 378 # 1, 4 8, 12 Solving Similar Triangle Problems Pg. 386 #
More information5.5 Right Triangles. 1. For an acute angle A in right triangle ABC, the trigonometric functions are as follow:
5.5 Right Triangles 1. For an acute angle A in right triangle ABC, the trigonometric functions are as follow: sin A = side opposite hypotenuse cos A = side adjacent hypotenuse B tan A = side opposite side
More information9.1 Use Trigonometry with Right Triangles
9.1 Use Trigonometry with Right Triangles Use the Pythagorean Theorem to find missing lengths in right triangles. Find trigonometric ratios using right triangles. Use trigonometric ratios to find angle
More informationChapter 2 Trigonometry
Chapter 2 Trigonometry 1 Chapter 2 Trigonometry Angles in Standard Position Angles in Standard Position Any angle may be viewed as the rotation of a ray about its endpoint. The starting position of the
More informationMBF 3C. Foundations for College Mathematics Grade 11 College Mitchell District High School. Unit 1 Trigonometry 9 Video Lessons
MBF 3C Foundations for College Mathematics Grade 11 College Mitchell District High School Unit 1 Trigonometry 9 Video Lessons Allow no more than 15 class days for this unit This includes time for review
More informationName: Block: What I can do for this unit:
Unit 8: Trigonometry Student Tracking Sheet Math 10 Common Name: Block: What I can do for this unit: After Practice After Review How I Did 8-1 I can use and understand triangle similarity and the Pythagorean
More informationI. Model Problems II. Practice III. Challenge Problems IV. Answer Key. Sine, Cosine Tangent
On Twitter: twitter.com/engagingmath On FaceBook: www.mathworksheetsgo.com/facebook I. Model Problems II. Practice III. Challenge Problems IV. Answer Key Web Resources Sine, Cosine Tangent www.mathwarehouse.com/trigonometry/sine-cosine-tangent.html
More informationUnit 6 Introduction to Trigonometry
Lesson 1: Incredibly Useful Ratios Opening Exercise Unit 6 Introduction to Trigonometry Use right triangle ΔABC to answer 1 3. 1. Name the side of the triangle opposite A in two different ways. 2. Name
More informationUNIT 4 MODULE 2: Geometry and Trigonometry
Year 12 Further Mathematics UNIT 4 MODULE 2: Geometry and Trigonometry CHAPTER 8 - TRIGONOMETRY This module covers the application of geometric and trigonometric knowledge and techniques to various two-
More informationPacket Unit 5 Trigonometry Honors Math 2 17
Packet Unit 5 Trigonometry Honors Math 2 17 Homework Day 12 Part 1 Cumulative Review of this unit Show ALL work for the following problems! Use separate paper, if needed. 1) If AC = 34, AB = 16, find sin
More informationFind sin R and sin S. Then find cos R and cos S. Write each answer as a fraction and as a decimal. Round to four decimal places, if necessary.
Name Homework Packet 7.6 7.7 LESSON 7.6 For use with pages 473-480 AND LESSON 7.7 For use with pages 483 489 Find sin R and sin S. Then find cos R and cos S. Write each answer as a fraction and as a decimal.
More informationMAP4CI Date Lesson Text Assigned Work Done Ref. Pythagorean Theorem, Pg 72 # 4-7, 9,10 ab P9 93 # 3, 6, 10, 11, 12
MAP4CI 2015-2016 Name: Trigonometry Unit 2 Outline Reminder: Write a missed Quiz or Test in room 540 at lunch or on your spare on the first day of return to school. If you have any concerns, please see
More informationMath-3 Lesson 6-1. Trigonometric Ratios for Right Triangles and Extending to Obtuse angles.
Math-3 Lesson 6-1 Trigonometric Ratios for Right Triangles and Extending to Obtuse angles. Right Triangle: has one angle whose measure is. 90 The short sides of the triangle are called legs. The side osite
More informationYou ll use the six trigonometric functions of an angle to do this. In some cases, you will be able to use properties of the = 46
Math 1330 Section 6.2 Section 7.1: Right-Triangle Applications In this section, we ll solve right triangles. In some problems you will be asked to find one or two specific pieces of information, but often
More informationChapter Nine Notes SN P U1C9
Chapter Nine Notes SN P UC9 Name Period Section 9.: Applications Involving Right Triangles To evaluate trigonometric functions with a calculator, there are a few important things to know: On your calculator,
More information5B.4 ~ Calculating Sine, Cosine, Tangent, Cosecant, Secant and Cotangent WB: Pgs :1-10 Pgs : 1-7
SECONDARY 2 HONORS ~ UNIT 5B (Similarity, Right Triangle Trigonometry, and Proof) Assignments from your Student Workbook are labeled WB Those from your hardbound Student Resource Book are labeled RB. Do
More informationUnit 7: Trigonometry Part 1
100 Unit 7: Trigonometry Part 1 Right Triangle Trigonometry Hypotenuse a) Sine sin( α ) = d) Cosecant csc( α ) = α Adjacent Opposite b) Cosine cos( α ) = e) Secant sec( α ) = c) Tangent f) Cotangent tan(
More informationTriangle Trigonometry
Honors Finite/Brief: Trigonometry review notes packet Triangle Trigonometry Right Triangles All triangles (including non-right triangles) Law of Sines: a b c sin A sin B sin C Law of Cosines: a b c bccos
More informationReview of Sine, Cosine, and Tangent for Right Triangle
Review of Sine, Cosine, and Tangent for Right Triangle In trigonometry problems, all vertices (corners or angles) of the triangle are labeled with capital letters. The right angle is usually labeled C.
More information1.6 Applying Trig Functions to Angles of Rotation
wwwck1org Chapter 1 Right Triangles and an Introduction to Trigonometry 16 Applying Trig Functions to Angles of Rotation Learning Objectives Find the values of the six trigonometric functions for angles
More information: Find the values of the six trigonometric functions for θ. Special Right Triangles:
ALGEBRA 2 CHAPTER 13 NOTES Section 13-1 Right Triangle Trig Understand and use trigonometric relationships of acute angles in triangles. 12.F.TF.3 CC.9- Determine side lengths of right triangles by using
More information5.6 More Than Right. A Develop Understanding Task
MODELING WITH GEOMETRY 5.6 5.6 More Than Right A Develop Understanding Task We can use right triangle trigonometry and the Pythagorean theorem to solve for missing sides and angles in a right triangle.
More informationGeo, Chap 8 Practice Test, EV Ver 1
Name: Class: Date: ID: A Geo, Chap 8 Practice Test, EV Ver 1 Short Answer Find the length of the missing side. Leave your answer in simplest radical form. 1. (8-1) 2. (8-1) A grid shows the positions of
More informationReview of Trigonometry
Worksheet 8 Properties of Trigonometric Functions Section Review of Trigonometry This section reviews some of the material covered in Worksheets 8, and The reader should be familiar with the trig ratios,
More informationSolving Right Triangles. How do you solve right triangles?
Solving Right Triangles How do you solve right triangles? The Trigonometric Functions we will be looking at SINE COSINE TANGENT The Trigonometric Functions SINE COSINE TANGENT SINE Pronounced sign TANGENT
More informationAcute Angles and Right Triangles. Copyright 2017, 2013, 2009 Pearson Education, Inc.
2 Acute Angles and Right Triangles Copyright 2017, 2013, 2009 Pearson Education, Inc. 1 2.5 Further Applications of Right Triangles Historical Background Bearing Further Applications Copyright 2017, 2013,
More informationSummer Review for Students Entering Pre-Calculus with Trigonometry. TI-84 Plus Graphing Calculator is required for this course.
Summer Review for Students Entering Pre-Calculus with Trigonometry 1. Using Function Notation and Identifying Domain and Range 2. Multiplying Polynomials and Solving Quadratics 3. Solving with Trig Ratios
More informationHONORS PRECALCULUS Prove the following identities- x x= x x 1.) ( ) 2 2.) 4.) tan x 1 cos x 6.)
HONORS PRECALCULUS Prove the following identities- 1.) ( ) cosx sinx = 1 sinxcosx.) cos x tan x+ sec x= 1 sinx 3.) 1 + 1 = csc x 1 cos x 1+ cos x 4.) sec x + 1 sin x = tan x 1 cos x 5.) cot cos cos cot
More informationPage 1. Right Triangles The Pythagorean Theorem Independent Practice
Name Date Page 1 Right Triangles The Pythagorean Theorem Independent Practice 1. Tony wants his white picket fence row to have ivy grow in a certain direction. He decides to run a metal wire diagonally
More informationWarm Up: please factor completely
Warm Up: please factor completely 1. 2. 3. 4. 5. 6. vocabulary KEY STANDARDS ADDRESSED: MA3A2. Students will use the circle to define the trigonometric functions. a. Define and understand angles measured
More informationa + b2 = c2 thirdside a b sin A sin B sin C one opposite angle other opposite a2 = b2 + 2bccos QHI. F-i. fr+c a - 2bc angle cosa= I ol o =
Angle of elevation is always measured UP from the HORIZONTAL. Angle of depression always measured DOWN from the HORIZONTAL. - given asked asked MAP 4C1 Triconometry Reference Sheet Formula Picture When
More informationThis simple one is based on looking at various sized right angled triangles with angles 37 (36á9 ), 53 (53á1 ) and 90.
TRIGONOMETRY IN A RIGHT ANGLED TRIANGLE There are various ways of introducing Trigonometry, including the use of computers, videos and graphics calculators. This simple one is based on looking at various
More informationSkills Practice Skills Practice for Lesson 7.1
Skills Practice Skills Practice for Lesson.1 Name Date Tangent Ratio Tangent Ratio, Cotangent Ratio, and Inverse Tangent Vocabulary Match each description to its corresponding term for triangle EFG. F
More informationGraphing Trigonometric Functions: Day 1
Graphing Trigonometric Functions: Day 1 Pre-Calculus 1. Graph the six parent trigonometric functions.. Apply scale changes to the six parent trigonometric functions. Complete the worksheet Exploration:
More informationG r a d e 1 0 I n t r o d u c t i o n t o A p p l i e d a n d P r e - C a l c u l u s M a t h e m a t i c s ( 2 0 S )
G r a d e 0 I n t r o d u c t i o n t o A p p l i e d a n d P r e - C a l c u l u s M a t h e m a t i c s ( 0 S ) Midterm Practice Exam Answer Key G r a d e 0 I n t r o d u c t i o n t o A p p l i e d
More informationAdding vectors. Let s consider some vectors to be added.
Vectors Some physical quantities have both size and direction. These physical quantities are represented with vectors. A common example of a physical quantity that is represented with a vector is a force.
More informationMath 144 Activity #2 Right Triangle Trig and the Unit Circle
1 p 1 Right Triangle Trigonometry Math 1 Activity #2 Right Triangle Trig and the Unit Circle We use right triangles to study trigonometry. In right triangles, we have found many relationships between the
More informationMathematical Techniques Chapter 10
PART FOUR Formulas FM 5-33 Mathematical Techniques Chapter 10 GEOMETRIC FUNCTIONS The result of any operation performed by terrain analysts will only be as accurate as the measurements used. An interpretation
More informationChapters 1-5 Secondary Math II Name SAGE Test Review WS Please remember to show all your work to receive full credit.
Chapters 1-5 Secondary Math II Name SAGE Test Review WS Period Please remember to show all your work to receive full credit. 1. Find the distance and the midpoint between (-4,-9) & (1,-8). No decimals!
More informationPreview: Correctly fill in the missing side lengths (a, b, c) or the missing angles (α, β, γ) on the following diagrams.
Preview: Correctly fill in the missing side lengths (a, b, c) or the missing angles (α, β, γ) on the following diagrams. γ b a β c α Goal: In chapter 1 we were given information about a right triangle
More informationSOH CAH TOA Worksheet Name. Find the following ratios using the given right triangles
Name: Algebra II Period: 9.1 Introduction to Trig 12.1 Worksheet Name GETTIN' TRIGGY WIT IT SOH CAH TOA Find the following ratios using the given right triangles. 1. 2. Sin A = Sin B = Sin A = Sin B =
More informationBe sure to label all answers and leave answers in exact simplified form.
Pythagorean Theorem word problems Solve each of the following. Please draw a picture and use the Pythagorean Theorem to solve. Be sure to label all answers and leave answers in exact simplified form. 1.
More informationWarm Up ( 5 3) Given the following triangles, find x X = 13 X = 2 X 6 2. Solve for the missing variables. 75 X = 6 and Y = -2
Trigonometry Day 1 Warm Up Given the following triangles, find x. 1. 2. 3. Please make sure you have a ruler that measures in Centimeters (cm)! X = 13 X = 2 X 6 2 Solve for the missing variables 2 1 4.
More informationUNIT 2 RIGHT TRIANGLE TRIGONOMETRY Lesson 2: Applying Trigonometric Ratios Instruction
Prerequisite Skills This lesson requires the use of the following skills: manipulating the Pythagorean Theorem given any two sides of a right triangle defining the three basic trigonometric ratios (sine,
More informationMath Analysis Final Exam Review. Chapter 1 Standards
Math Analysis Final Exam Review Chapter 1 Standards 1a 1b 1c 1d 1e 1f 1g Use the Pythagorean Theorem to find missing sides in a right triangle Use the sine, cosine, and tangent functions to find missing
More informationSolving Right Triangles. LEARN ABOUT the Math
7.5 Solving Right Triangles GOL Use primary trigonometric ratios to calculate side lengths and angle measures in right triangles. LERN OUT the Math farmers co-operative wants to buy and install a grain
More informationGeometry First Semester Practice Final (cont)
49. Determine the width of the river, AE, if A. 6.6 yards. 10 yards C. 12.8 yards D. 15 yards Geometry First Semester Practice Final (cont) 50. In the similar triangles shown below, what is the value of
More informationThe Pythagorean Theorem: For a right triangle, the sum of the two leg lengths squared is equal to the length of the hypotenuse squared.
Math 1 TOOLKITS TOOLKIT: Pythagorean Theorem & Its Converse The Pythagorean Theorem: For a right triangle, the sum of the two leg lengths squared is equal to the length of the hypotenuse squared. a 2 +
More informationHigh School MATHEMATICS Trigonometry
High School MATHEMATICS Trigonometry Curriculum Curriculum Map USD 457 Math Framework Performance/Open-Ended Response Assessments o First Semester (Tasks 1-3) o Second Semester (Tasks 1-4) Available on
More informationTrigonometry A Right Triangle Approach
We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with trigonometry a right
More informationCK-12 Trigonometry. Lori Jordan Mara Landers. Say Thanks to the Authors Click (No sign in required)
CK-12 Trigonometry Lori Jordan Mara Landers Say Thanks to the Authors Click http://www.ck12.org/saythanks (No sign in required) www.ck12.org To access a customizable version of this book, as well as other
More informationMATH 1112 Trigonometry Final Exam Review
MATH 1112 Trigonometry Final Exam Review 1. Convert 105 to exact radian measure. 2. Convert 2 to radian measure to the nearest hundredth of a radian. 3. Find the length of the arc that subtends an central
More information