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Determine the quadrant of the terminal side of the angle in standard position. Then, convert a degree measure to radians or a radian measure to degrees.

1.[pic] 2. -135( 3. [pic] 4. 112(

Evaluate the expression exactly without a calculator.

5. sin 30( 6. sin [pic] 7. csc 270( 8. cot [pic]

Evaluate exact answers for all six trigonometric functions of the angle. Use reference triangles and not your calculator.

9. [pic] 10. -135(

11. Use a right triangle to determine the values of all trigonometric functions of [pic], where

tan [pic]=[pic]

12. Solve tan x = 1.35 if [pic]. Round your answer to the nearest hundredth.

13. Solve the right triangle (ABC, if [pic]( and c = 15.

x is an angle in standard position with [pic]. Determine the quadrant of x.

14. sin x < 0 and tan x > 0 15. tan x < 0 and sin x > 0

Point P is on the terminal side of angle [pic]. Evaluate the six trigonometric functions for [pic].

16. (-3, 6) 17. (-3, -5)

Use transformations to describe how the graph of the function is related to a basic trigonometric graph. Graph two periods.

18. y = sin (x + [pic]) 19. y = 2 + 3cos x 20. –sin (x - [pic]) + 2

State the amplitude, period, phase shift, domain and range for the sinusoid. Then, graph on the interval from [-2[pic], 2[pic]].

21. f(x) = 2 sin 3x 22. g(x) = 2.25 cos (2x + [pic])

23. Find the length of the arc intercepted by a central angle of [pic] rad in a circle with radius 2.

24. The angle of elevation of the top of a building from a point 100 m away from the building on level ground is 78(. Find the height of the building.

25. Cathy Nguyen races on a bicycle with 13-inch radius wheels. When she is traveling at a speed of 44 ft/sec, how many revolutions per minute are her wheels making?

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a

c

b

[pic]

[pic]

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