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Fall 2010
MTH 125
Chapter 1 Trig Review
Name _______________________
1. (4 pts) Find the exact radian measure of 100°.
________________
2. (4 pts) Find the exact degree measure of -2π /5.
________________
3. (12 pts) If ө is in standard position and Q is on the terminal side of ө, given Q (4,-3), find the values
of the trig functions:
cos ѳ = _________
sin ѳ = ________
tan ѳ = ________
sec ѳ = _________
csc ѳ = ________
cot ѳ = ________
4. (4 pts) Sketch the graph of f(x) = sin x
5. (6 pts) Find all solutions of the equation in [0, 2π): 2cos 2ѳ = -1
6. (4 pts) Find the exact radian measure of 210°.
7. (4 pts) Verify the identity (show your work):
__________
________________
csc2 x
1 + tan2 x
= cot2 x
Fall 2010
8. (6 pts) Find all solutions of the equation in [0, 2π):
2cos 2x - √3 = 0
9. (4 pts) Find the exact value of sin (2π/3). ____________
10. (4 pts) Find the exact degree measure of -π /8.
________________
11. (12 pts) Let Ө be in standard position, with terminal side in quadrant III and parallel to the line
2y – 7x + 2 = 0. Find the values of the trigonometric functions.
cos = _________
sin
= ________
tan
= ________
sec = _________
csc = ________
cot
= ________
12. (4 pts) Find the values of x and y in the figure.
x
x = ________
4
y = ________
y
13. (4 pts) Sketch the graph of f(x) = tan x.
14. (4 pts) Find the exact value of tan (5π/6).
30º
__________
Fall 2010
15. (4 pts) Verify the identity (Show your work): sec x – cos x = tanx sin x
16. (4 pts) Find the exact value of cos (5π/4).
__________
17. (6 pts) Find all solutions of the equation in [0, 2π):
2sin2 ѳ = 1 –sin ѳ
18. (4 pts) Find the exact value of sec (2π/3).
____________
19. (4 pts) Find the exact radian measure of 630º.
____________
20. (4 pts) Verify the identity (Show your work): (1 – sin2 x)(1 + tan2 x) = 1