MATH 122
TRIG EQUATIONS
Solve for x, y, t, or
1. tan x + 1 = 0
2. 2 sin x - 1 = 0
3.
4.
5. 4 sin²t - 1 = 0
6. 2 tan x - 2 cot x + 3 = 0
7. 2 cos² - 1 = 0
8. sin²y + 2 sin y = 0
9.
10. 2 sin²x + sin x - 1 = 0
11. 3 tan²x - 1 = 0
12.
Equations involving multiple angles. Find all
solutions in [0,2) or [0,360)
13. sin 2 + 2 sin = 0
14. cos 2 + cos + 1 = 0
15.
16. cos 2x = cos x
17.
18.
19.
ANSWERS:
In the following, k is an integer.
1.
or
2.
or 30 + 360k and 150 + 360k
11.
or 30 + 180k and 150 + 180k
12.
or 180k and 60 + 180k
13. 0 , or 0 , 180
