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AP Calculus AB Worksheet
Solving Trigonometric Equations
I.
Solve for values of x such that 0  x  2 .
2. (tan x  1)( 2 sin x  1)  0
1. 2 cos 2 x  5 cos x  2 =0
II.
Solve for all values of x.
2
3. sin x  (1  2 sin 2 x)  cos x  0
III.
It is important to always check your solutions. Some algebraic operations
may introduce answers that are not solutions to the original equation.
Solve and check. Solve for values of x such that 0  x  2
4. cos x  1  sin x
5. 2sinx+1=0
7.
2 sin x  1  0
9. 2cosx- 3 =0
(hint: square both sides)
6. 2cosx-1=0
8. 2cosx+1=0
10. tan 2 x  3 tan x  0