The trigonometric equation is .
Substitute the value in above equation.
The equation is quadratic equation that can be factored.
\Apply zero product property.
\ or
or
is invalid.
Since sine domain is .
To solve on a calculator, first set the mode to radians.
Then use the key to obtain.
The solution is not lies in the interval
.
So it is invalid solution.
\Let we check another angle exists in the interval .
The period of is
.
So,
The solution is lies in the interval
.
So it is valid solution.
\So further all solutions for are not valid for the interval
.
The solution set for is
.