Trig Functions Test

Part 2 – With calculators

Find the exact value of each of the remaining trigonometric functions.

 

11. sin q = -4/5 , cos q > 0

 

 

 

12. cos q = -3/5, sin q < 0

 

 

 

13. tan q = 12/5 , sin q < 0

 

 

 

14.  cot q = 12/5, cos q < 0

 

 

 

15. sec q = -5/4, tan q < 0

 

 

 

16. csc q = -5/3, cot q < 0

 

 

Find the exact value of each expression.

 

17. sin-1 1

 

 

18. tan-1 (-3)

 

 

19. sec ( tan-1 ((3) / 3))

 

 

20. The minute hand of a clock is 8 inches long. How far does the tip of the minute hand move in 30 minutes? How far does it move in 20 minutes?

 

 

BONUS (show work on the back):

The radius of each wheel of a car is 16 inches. At how may revolutions per minute should a spin balancer be set to balance the tires at a speed of 90 mph? is the setting different for a wheel of radius 14 inches? What is the setting?