The trigonometric equation is .
Apply cosine sum identity : .
Apply sine sum identity : .
Apply quotient identity : .
.
Solve in the interval
.
The trigonometric equation is .
Apply double-angle identity : .
Apply zero product property.
\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 in the interval
.
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
.
\
Therefore, the solutions are ,
,
and
on the interval
.
The solutions of are
,
,
and
on the interval
.