22 Part I: The Questions
134. sin x = tan x
135. 2 cos
2 
x + cos x – 1 = 0
136. tan x = 1
137. 2 sin
2 
x – 5 sin x – 3 = 0
138. cos x = cot x
139. sin 2
1
2
x
( )=
140. sin 2x = cos x
141. 2 cos x + sin 2x = 0
130.
1
1
1
1
−
+ +
cos
c os
θ
θ
(A) 2
2
sin θ
(B) 2
2
tan θ
(C) 2
2
sec θ
(D) 2
2
csc θ
(E) 2
2
cot θ
131.
sin
cos
x
x
1 −
(A) csc x + cot x
(B) sec x + cot x
(C) csc x – cot x
(D) sec x – tan x
(E) csc x – tan x
132. cos 3θ
( )
(A) 5 cos
3
θ – 3 cos θ
(B) 2 cos
3
θ – 3 cos θ
(C) 4 cos
3
θ – 3 cos θ
(D) 4 cos
3
θ + 3 cos θ
(E) 2 cos
3
θ + 5 cos θ
Solving Trigonometric
Equations
133–144 Solve the given trigonometric equations.
Find all solutions in the interval [0, 2π].
133. 2 sin x – 1 = 0