MAC 1147 Trigonometry Test 1 - Convert 100 degrees to ???? radians

MAC 1147-TRIG TEST 1

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1. Convert 100 degrees to ???? radians. __________________

 

2. Convert to degrees 5????

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 9????

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 ????

12 .

 

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8. If the length of an arc is 3????

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 3????

4 E. sec

????

2

B csc 7????

4 F. sin ????

C cos 3????

2 G. tan

????

6

 

 

D. tan 0 H. sin 5????

3

 

18. Find the six trig functions for 7????

6

A. sin C. cos E. tan

B. csc D. sec F. cot