CHAPTER 3, FORM E TRIGONOMETRY Choose the best answer. NAME DATE. Do not use a calculator for problems 1-11.

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1 CHAPTER, FORM E TRIGONOMETRY Choose the best answer. NAME DATE Do not use a calculator for problems Which of the following describes the measures of 1. all angles that are coterminal with the angle whose measure is / radian? (Assume n is any integer.) n n n Convert each of the following degree measures to radians. Leave answers as multiples of Convert each of the following radian measures to degrees Copyright 01 Pearson Education, In

2 CHAPTER, FORM E, PAGE Evaluate each of the following. Give exact values.. cos. 1 d tan 9. 1 d. 10. csc d Give the exact value of t in the interval, such that tan t = d. 11. Copyright 01 Pearson Education, In

3 CHAPTER, FORM E, PAGE Use a calculator as necessary in Problems Find the measure, to the nearest degree, of the 1. acute central angle in the figure below. 1 d What would be the measure of the acute 1. central angle in the figure above if the radius were doubled (and the arc length remained unchanged)? 1 d. 1. Find the area of a circle intercepted by a central 1. angle of 10 in a circle of radius.1 cm. 17. cm. cm 0. cm d. 1.1 cm Use a calculator to find the following. 1. sin d cot d Find the value of t in the interval, such that sec t = d Copyright 01 Pearson Education, In

4 CHAPTER, FORM E, PAGE 1. Find the measure, in radians and degrees, of the 1. angle α formed in the accompanying screen by the line passing through the origin and the positive x-axis. Use the displayed values of x and y at the bottom of the screen.. rad,.9. rad,.9. rad, Find the linear velocity of a point on the edge 19. of a wheel rotating times per min. The diameter of the wheel is 7 in. 10 ft/min 1 ft/min 9 ft/min d. ft/min 0. A pulley has a radius of. cm. It takes sec 0. for 0 cm of belt to go around the pulley. Find the angular velocity of the pulley in radians per se d. 1. Copyright 01 Pearson Education, In 7

5 CHAPTER, FORM F TRIGONOMETRY NAME DATE Choose the best answer. Do not use a calculator for Problems Which of the following describes the measures of 1. all angles that are coterminal with the angle whose measure is / radian? (Assume n is any integer.) n n n Convert each of the following degree measures to radians. Leave answers as multiples of Convert each of the following radian measures to degrees Copyright 01 Pearson Education, In

6 CHAPTER, FORM F, PAGE Evaluate each of the following. Give exact values.. sin. 1 d sec 0 d. undefined cot d Give the exact value of w in the interval 0, such that sec w. 1 d. 11. Copyright 01 Pearson Education, In 9

7 CHAPTER, FORM F, PAGE Use a calculator as necessary in Problems Find the length s in the figure below d. 1. What would be the radius of the circle in the 1. figure above if the arc length doubled (and the central angle remained unchanged)? d Find the area of a sector of a circle intercepted 1. by a central angle of in a circle of radius 9. in. 17.in. 0.in. 1.in. d..in. Use a calculator to find the following. 1. sin d csc d Find the value of w in the interval, such that cot w = d Copyright 01 Pearson Education, In 0

8 CHAPTER, FORM F, PAGE 1. Find the measure, in radians and degrees, of the 1. angle β formed in the accompanying screen by the line passing through the origin and the positive x-axis. Use the displayed values of x and y at the bottom of the screen..9 rad,..7 rad, rad,. 19. Find the linear velocity of a point on the edge of a 19. wheel rotating times per min. The diameter of the wheel is cm. cm/sec 9 cm/sec 1 cm/sec d. 70 cm/sec 0. Two pulleys of radius cm and 10 cm, respectively, 0. are connected by a belt. The larger pulley rotates at 0 times per min. Find the angular velocity of each pulley in radians per minute. 19; 19 19; 1 97; d. ; 19 Copyright 01 Pearson Education, In 1

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