Trigonometry test

MAC 1147-TRIG TEST 1

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1. Convert 100 degrees to 𝜋 radians. __________________

2. Convert to degrees 5𝜋

12 __________________

3. Convert 1550 rpm to radians per second. __________________

4. Find the linear speed of a fan with radius of 40 cm turning 800 rpm in centimeters per

second.

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5. List the reference angle and the quadrant of a

A. 160° angle.

B. angle of 9𝜋

5

6. Given the reference angle of 45° angle in quadrant 4,

A. what is the terminal angle?

B. write a positive coterminal angle

7. Find two coterminal angles, one positive and one negative, for reference angle 𝜋

12 .

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8. If the length of an arc is 3𝜋

4 and the central angle is 30°, find the radius of the circle.

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9. Find the cross sectional area of a 40° angle with radius of 12 cm.

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10. Find the six trig functions given ( - 3,10). Using radicals and fractions

A. sin D. csc

B. cos E. sec

C. tan F. cot

11. Sinx = −7

25 in quadrant 4. Find the other 5trig functions in quadrant 4

12. Find the measure of each angle in degrees. Round to one decimal place.

A. tanx = 19

8 __________________

B. cos x = 7

11 __________________

C. csc x= 13

5 __________________

13. Cosx= −9

41 in quadrant 3, find the other 5 trig functions in quadrant 3.

A. sin D. csc

B. cos E. sec

C tan F. cot

14. If sin x=u in quadrant 1, find cosx in quadrant 1 __________________

15. If tan x=u in quadrant 1, find sin x in quadrant 1. __________________

16. In right triangle ABC, C is the right angle.

A. If angle A= 58° and a=12. Find sides b and c. Round to one decimal place

b= c =

B. If angle B=42, and b= 18. Find sides a and c. Round to one decimal place

a= c=

17. Use the special triangles and the unit circle to answer the following. Use radicals and

write UNDEFINED if b=needed.

A. cot 3𝜋

4 E. sec

𝜋

2

B csc 7𝜋

4 F. sin 𝜋

C cos 3𝜋

2 G. tan

𝜋

6

D. tan 0 H. sin 5𝜋

3

18. Find the six trig functions for 7𝜋

6

A. sin C. cos E. tan

B. csc D. sec F. cot