The trigonometric equation is .
Apply sine half-angle identity : .
Square on both sides.
\Pythagorean identity : .
Solve .
The general solution of is
, where
is an integer.
The solution is , where
is an integer.
Now find the solutions on the interval .
If ,
.
If ,
.
Thus the solutions are and
on the interval
.
The solutions of are
and
on the interval
.