Question

What are solutions to the equation sinx cosx = square root 3 over4

Answer 1

`\sin(x)\cos(x)=(√(3))/(4)\\\\2\sin(x)\cos(x)=(√(3))/(2)\\\\\sin(2x)=(√(3))/(2)\\\\2x=\arcsin\left( (√(3))/(2) \right)\\\\2x=\left\{ (\pi)/(3),(2\pi)/(3)\right\}+2n\pi\\\\\boxed{x=\left\{ (\pi)/(6),(\pi)/(3)\right\}+n\pi}`