NAME__________________________DATE__________PERIOD__
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. [pic] = _______ 4. [pic] = _______
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. [pic] ______ ______ 8. [pic] ______ ______
Find the exact value of each of the following:
__________9. cos 60( __________10. tan [pic]
__________11. csc 2( __________12. cot 45(
__________13. cos [pic] __________14. cos ( -225()
__________15. sec [pic] __________16. csc 300(
Determine the quadrant(s) where the following is true.
__________17. cos[pic] and csc [pic] have opposite signs.
__________18. csc [pic] is negative and tan [pic] is positive.
__________19. cot [pic] and sin [pic] 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 = [pic] α = _______ 23. θ = [pic] α = _______
24. If the terminal side of an angle [pic], passes through the point P(-3, 9) determine the numerical value of all six trig functions.
25. If cos[pic] = [pic] and [pic], sketch the angle[pic] and find the value of the other five trig functions.
26. If tan [pic] = [pic] and [pic], sketch the angle[pic] and find the value of the other five trig functions.
Give the exact values of the six trigonometric functions of the given angle.
27. [pic] = [pic] 28. [pic] = -60˚
1. [pic]
2. [pic]
3. 225˚
4. 54˚
5. -217˚, 503˚
6. -385˚, 335˚
7. [pic]
8. [pic]
9. [pic]
10. [pic]
11. undefined
12. 1
13. [pic]
14. [pic]
15. [pic]
16. [pic]
17. 2, 4
18. 3
19. 1, 4
20. 36˚
21. 65˚
22. [pic]
23. [pic]
24. sin θ = [pic] csc θ = [pic]
cos θ = [pic] sec θ = [pic]
tan θ = -3 cot θ = [pic]
25. sin θ = [pic] csc θ = [pic]
sec θ = 4
tan θ = [pic] cot θ = [pic]
26. sin θ = [pic] csc θ = [pic]
cos θ = [pic] sec θ = [pic]
cot θ = [pic]
27. sin θ = -1 csc θ = -1
cos θ = 0 sec θ = undefined
tan θ = undefined cot θ = 0
28. sin θ = [pic] csc θ = [pic]
cos θ = [pic] sec θ = 2
tan θ = [pic] cot θ = [pic]
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Answers
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