Answer
1) Given equation is quadratic.
2) Only one trigonometric function i.e. $\sin x$ is present.
3) Equation may be rearranged to make R.H.S. equal to zero.
3) Now L.H.S. can be factorized easily.
4) Now each factor may be set equal to zero for final solution.
Work Step by Step
Given equation is-
$9 \sin^{2} x $ - $5 \sin x$ = $1$
Steps to be taken-
1) Given equation is quadratic.
2) Only one trigonometric function i.e. $\sin x$ is present.
3) Equation may be rearranged to make R.H.S. equal to zero.
3) Now L.H.S. can be factorized easily.
4) Now each factor may be set equal to zero for final solution.