Download Name_______________________________ 11.4 Practice Solving

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11.4 Practice Solving Trigonometric Equations
Verify that the given x-value is a solution of the equation.
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1.
3 tan2 2x -1 = 0, x = 12
3.
2 cos2 x – 1 = 0, x =
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4
2.
2 sin2 x – sin x = 0, x = 0
4.
sec4 2x – 4 sec 2 x = 0 , x = 3
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Find the general solution to the equation.
5.
√3 csc x – 2 = 0
6.
2 sin2 x – 1 = 0
7.
3 sec 2 x – 4 = 0
8.
sin2 Ѳ + sin Ѳ = 0
9.
√2 cos Ѳ – 1 = 0
10.
7 sec x – 7 = 0
11.
3 sin x = sin x +1
12.
csc2 x – csc x -2 = 0
Solve the equation in the interval 0 < x < 2π.
13.
2 cos2 x = -cos x
14.
3 sec2 x – 4 = 0
13.
2 cot4 x – cot2 x – 15 = 0
14.
2 sin4 x – sin2 x = 0
15.
sec Ѳ csc Ѳ – 2 csc Ѳ = 0
16.
3 tan3 x - tan x = 0
17.
cos x csc2 x + 3 cos x = 7 cos x
18.
2 csc x + 17 = 15 + cscx
19.
3 sec2 x – 4 = 0
20.
√2 cos x sin x – cos x = 0
21.
√3 tan x = 3 tan x csc x - √3 tan x
22.
2 sin2 x – cos x -1 = 0