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
.