The trigonometric equation is .
Subtract from each side.
Factorize the above equation.
\Apply zero product property.
\ or
or
Apply reciprocal identity : .
or
or
.
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
.
Solve .
The solution is , where
is an integer.
Now find the solutions on the interval .
If ,
.
If ,
.
If ,
.
If ,
.
Thus, the solution is on the interval
.
\
Therefore, the solutions of are
,
, and
on the interval
.
The solutions of are
,
, and
on the interval
.