Question

If after solving an eqn. I get $\sin x\cos x=\frac{-1}{4}$. How do I solve if further for ${}^{\prime }{x}^{\prime }$.

Answer 1

$\sin x\cos x=-\frac{1}{4}$

Multiply $2$ on both sides

$\sin x\cos x=-\frac{1}{4}2\sin x\cos x=-\frac{2}{4}=-\frac{1}{2}\sin 2x=-\frac{1}{2}2x=(2n+1)\pi +\frac{7\pi }{6}x=(2n+1)\frac{\pi }{2}+\frac{7\pi }{12}$

Answer