The trigonometric equation is
.
Common out
from the left hand side of the equation.

Pythagorean identity :
.

Subtract
from each side.

Apply zero product property.
\
or 
or 
or 
is undefoned.
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 of
are
and
on the interval
.
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 of
are
and
on the interval
.
\
Therefore, the solutions of
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 true,
is a solution of
.
\
Substitute
in
.

Since the above statement is true,
is a solution of
.
\
Substitute
in
.

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