Question 278403
Hint: Multiply both sides by sin(x) to go from *[Tex \LARGE \sin(x)=\frac{1}{4\sin(x)}] to *[Tex \LARGE \sin^2(x)=\frac{1}{4}]. From there, take the square root of both sides to get *[Tex \LARGE \sin(x)=\pm\frac{1}{2}] which essentially breaks down to *[Tex \LARGE \sin(x)=\frac{1}{2}] or *[Tex \LARGE \sin(x)=-\frac{1}{2}]



So your task is to solve the two equations *[Tex \LARGE \sin(x)=\frac{1}{2}] and *[Tex \LARGE \sin(x)=-\frac{1}{2}] for 'x'. Just take the inverse sine of both sides. Keep in mind that multiple values of 'x' satisfy each equation.