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Problem
Problem
Find all values of
θ
\theta
θ
which satisfy,
sin
(
3
θ
+
α
)
+
sin
(
3
θ
−
α
)
+
sin
(
α
−
θ
)
−
sin
(
α
+
θ
)
=
cos
α
\sin(3\theta + \alpha) + \sin(3\theta - \alpha) + \sin(\alpha - \theta) - \sin(\alpha + \theta) = \cos \alpha
sin
(
3
θ
+
α
)
+
sin
(
3
θ
−
α
)
+
sin
(
α
−
θ
)
−
sin
(
α
+
θ
)
=
cos
α
given
cos
α
≠
0
\cos \alpha \neq 0
cos
α
=
0
.
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