The trigonometric equation is .
Pythagorean identity : .
Apply zero product property.
\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 ,
.
If ,
.
If ,
.
\
Thus, the solution is 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 solution is 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 ,
.
If ,
.
If ,
.
\
Thus, the solutions are and
on the interval
.
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
.
The solutions of are
,
,
,
,
, and
on the interval
.