Trigonometry review

MAC 1147-TRIG TEST 1 REVIEW

LESSONS 1, 2, 3

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1. Convert to 𝜋 radians.

A. 125 degrees

B. 300 degrees

2. Convert to degrees

A. 7𝜋

10

B. 1.25 radians

3. Convert 920 rpm to radians per second.

4. Find the linear speed of a fan with radius of 40 cm turning 920 rpm in radians per

second.

5. List the reference angle and the quadrant of a

A. 240°

B. 11𝜋

6

6. Given the reference angle of 30° angle in quadrant 2, what is the terminal angle?

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

A. 𝜋

5

B. 2𝜋

3

8. If the length of an arc is 5𝜋

12 and the central angle is 40°, find the radius of the circle.

9. Fine the length of an arc of the circle with radius of 12 in and central angle of 60°

10. Find the cross sectional area of a 120° angle with radius of 8 cm.

11. The cross sectional area of a circle is 2𝜋 with the central angle of 150°. Find the radius of

the circle. Round to one decimal place.

12. Find the six trig functions given ( 5, -12).

A. sin D. csc

B. cos E. sec

C. tan F. cot

13. Sinx = 6

13 in quadrant 2. Find sec x in quadrant 2.

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

A. sinx = 9

28

B. sec x = 17

11

C. tan x= 13

25

D. cos x = 1

4

15. sinx= 8

17 in quadrant 2, find the other 5 trig functions in quadrant 4.

A. sin D. csc

B. cos E. sec

C tan F. cot

16. If cos x=u in quadrant 1, find tanx in quadrant 1 __________________

17. In triangle ABC, angle B= 28° and a=12. Find sides a and c.

a= c =

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

write UNDEFINED if b=needed.

A. tan 𝜋

4 E. csc

𝜋

2

B sec 3𝜋

4 F. cos

𝜋

2

C sin 3𝜋

2 G. tan

7𝜋

6

D. tan 𝜋 H. cos 11𝜋

6

19. Find the six trig functions for 5𝜋

3 AND

3𝜋

2

A. sin C. cos E. tan

B. csc D. sec F. cot