The trigonometric equation is .
Apply quotient identity : .
Pythagorean identity : .
Apply zero product property.
\ or
or
Since the range of the sine function is , there are no solutions exist for
.
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
.
\
But, at , tangent function is undefined.
So, the equation does not have any solutions.
The equation does not have any solutions.