Review #5 Page 4
NAME______DATE______PERIOD_____
Review #5: Trig Functions (non-calculator)
Convert each angle below from degrees to radians.
1. 144° = ______2. 440° = ______
Convert each angle below from radians to degrees.
3. = ______4. = ______
Find two angles, one in a clockwise direction and one in a counterclockwise direction that are coterminal to the given angle.
5. 143° ______6. -25° ______
7. ______8. ______
Find the exact value of each of the following:
______9. cos 60° ______10. tan
______11. csc 2p ______12. cot 45°
______13. cos ______14. cos ( -225°)
______15. sec ______16. csc 300°
Determine the quadrant(s) where the following is true.
______17. cos and csc have opposite signs.
______18. csc is negative and tan is positive.
______19. cot and sin have the same signs.
Draw each angle, θ, in standard position. Find the reference angle, α. Label θ and α.
20. θ = 144° α = ______21. θ = 295° α = ______
22. θ = α = ______23. θ = α = ______
24. If the terminal side of an angle , passes through the point P(-3, 9) determine the numerical value of all six trig functions.
25. If cos = and , sketch the angle and find the value of the other five trig functions.
26. If tan = and , sketch the angle and find the value of the other five trig functions.
Give the exact values of the six trigonometric functions of the given angle.
27. = 28. = -60˚
Review #5 Page 4
1.
2.
3. 225˚
4. 54˚
5. -217˚, 503˚
6. -385˚, 335˚
7.
8.
9.
10.
11. undefined
12. 1
13.
14.
15.
16.
17. 2, 4
18. 3
19. 1, 4
20. 36˚
21. 65˚
22.
23.
24. sin θ = csc θ =
cos θ = sec θ =
tan θ = -3 cot θ =
25. sin θ = csc θ =
sec θ = 4
tan θ = cot θ =
26. sin θ = csc θ =
cos θ = sec θ =
cot θ =
27. sin θ = -1 csc θ = -1
cos θ = 0 sec θ = undefined
tan θ = undefined cot θ = 0
28. sin θ = csc θ =
cos θ = sec θ = 2
tan θ = cot θ =