Solve for x
x=\frac{\sin(\theta )}{4}
Solve for θ
\theta =-\arcsin(4x)+2\pi n_{1}+\pi \text{, }n_{1}\in \mathrm{Z}
\theta =\arcsin(4x)+2\pi n_{2}\text{, }n_{2}\in \mathrm{Z}\text{, }|x|\leq \frac{1}{4}
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4x=\sin(\theta )
Swap sides so that all variable terms are on the left hand side.
\frac{4x}{4}=\frac{\sin(\theta )}{4}
Divide both sides by 4.
x=\frac{\sin(\theta )}{4}
Dividing by 4 undoes the multiplication by 4.
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