The trigonometric equation is .
Subtract from each side.
Squaring on each side.
\Pythagorean identity : .
Apply reciprocal identity : .
Solve .
The general solution of is
, where
is an integer.
The solution is , where
is an integer.
Find the solutions on the interval .
If ,
.
If ,
.
Thus, the solutions are and
on the interval
.
Check :
\The equation is .
Substitute in
.
Since the above statement is true, is a solution of
.
\
Substitute in
.
Since the above statement is false, is not a solution of
.
The solution of is
in the interval
.