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
.