The trigonometric identity
on the interval
.
.
Apply the sum-to-product formula:
.

Even -odd property of cosine function:
.
.

and
.
and
.
Solve these two equations separately.
\Consider
.
General solution for
is
and
where
.
Solutions for
in
are
and
.
where
.
.
.
Consider
.
Solutions for
in
are
and
where
.
.
.
Combine above two solutions for complete solution.
\
and 
.
.