Honors Algebra II/Trig Semester 2 Review Packet. 2 5 c. 5

Transcription

1 Honors Algebra II/Trig Semester Review Packet Name Chapter 8 1. For f ( ) 6 1 a) Find the domain a. b) Find f (6) b. c) Find, if f ( ) 1 c.. Transform to simple radical form. a b. 0 5 c d. e f. ( 8)( 6 5) g. h. 5 i

2 . Find the solution set. a. 5 b. 1 c. e f. 8 d Write a general equation if varies directl with the square of, directl with z, and inversel with the square of w.

3 Chapter 9 Identif the shape of the graph, transform it to standard form, and sketch the graph. Include the coordinates of the center, vertices, foci, and equations of asmptotes and directri, if applicable

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5 Identif the conic without graphing Find the solution set

6 Chapter Divide f ( ) 7 5 b ( ) with snthetic division. What is the remainder?. Evaluate: a. 9 i b. 18 i c. 97 i d. ( i)(1 i) e. ( 5 i) (7 5i) f. ( i)( i) g. ( i ) h. 7 i. i 1 i. Solve 8 0. Write an equation with roots of ( i) and ( i)

7 5. Factor in the comple number sstem 1 6. Factor in the comple number sstem What is the sum of the roots of: ? 8. Find the zeros and graph: ) ( f 9. Use Descartes Rule of Signs to write the possible numbers of zeros (positive, negative, and comple) for: 1 5 ) ( 5 7 f

8 Chapter For the sequence, 5,8,11,1,17,0, a. Find the net two terms. b. Is the sequence arithmetic or geometric? Eplain. c. Write the equation for t n d. Use the equation to find 85 th term. e. What is the sum of the first terms of this sequence?. For the sequence, 60,0,160, a. Find the net two terms. b. Is the sequence arithmetic or geometric? Eplain. c. Write the equation for t n d. Use the equation to find 15 th term. e. What is the sum of the first 10 terms of this sequence? f. What is the convergent sum of the series?

9 . Evaluate k 8 k. Insert five real geometric means between 6 and Insert five arithmetic means between 6 and Find the sum of the infinite geometric series: A tai driver charges $.5 for the first mile and 85 cents for each mile thereafter. What does he charge for 11 miles?

10 8. Epand: ( ) 9. What is the sith term of 8 )? ( 10. What is the term that contains 10 in 8 )? (

11 Chapter 1 1. Find the eact values of: a. cos 60 b. sec 00 c. cos 70 d. cot 180 e. sin f. tan g. 1 Arc sin h. Cos cos i. sin( Cos 1 Tan 1) j. sec Arc cos 17 k. sec60 tan15 cot 60 sin 60. Sketch two full periods of: cos ( 1)

12 . Sketch two full periods of: sin ( 1 ). Find the eact value of the sine and secant if the terminal side of passes through (8,-). 5. Find the value of the cosine and cosecant of, if terminates in Quadrant II and and sin 5 6. From the graph, write both a sine and cosine function.

13 7. From the graph, write both a sine and cosine function. Chapter 1 Prove the identities. (1 cos )(1 cos ) 1. 1 sin 1 sin cos. sin 1 sin

14 1 sec. tan sin csc. cot cos csc sin 5. (1 sin )(1 tan ) 1

15 Find the eact values. 6. sin tan 8 8. cos If 1 sin A, cos A 0, a. sin( A B) tan B, and sin B 0. Find: b. cos B 1 c. sin A

16 Solve in the indicated domain. 10. cos sin 1, [ 0, ], [0,60 ] 11. sin 7sin 0 1. sin cos6 cos sin 6, [0,60 ) Chapter Right triangle JET has a hpotenuse of length t=18.6 and a leg of length j=8.6. Find all the missing parts of the triangle.

17 . Right triangle ANT has m A 7 18' and a hpotenuse of n=. Find all the missing parts of the triangle.. CWT has w=17, t=15, and m C 15 '. Find all the missing parts of the triangle and area.. EMW has e=8, m=10, and w=1. Find all the missing parts of the triangle. 5. EMS has m E 15 ms 5 and m=11. Find all the missing parts of the triangle.

18 6. TWN has m T 0 n=1 and t=1. Find all the missing parts of the triangle(s). 7. ABC has m A 1 a= and b=10. Find all the missing parts of the triangle(s). 8. ABC has m A 1 a=6 and b=10. Find all the missing parts of the triangle(s).