The trigonometric equation is
.
Apply sine half-angle identity :
.
Apply cosine half-angle identity :
.


Apply zero product property.
\\

since
, the equation
has no solution.
Solve
.

The solution is
, where
is an integer.
Now find the solutions on the interval
.
If
,
.
If
,
.
Thus, the solutions are
and
on the interval
.
Check :
\Check the solution by substituting
in
.

Since the above statement is false,
is not a solution of
.
Check the solution by substituting
in
.

Since the above statement is true,
is a solution of
.
The solution of
is
on the interval
.