The trigonometric equation is .
Factorize the above equation.
\Apply zero product property.
\ or
or
.
or
.
Since is not a real number, the equation
yields no additional solutions.
Solve .
and
.
First solve .
or
or
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 ,
.
If ,
.
If ,
.
Thus, the solution is on the interval
.
Now solve .
or
or
The solution is , where
is an integer.
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
.