Question

.Find all solutions to the equation.

7 sin2x - 14 sin x + 2 = -5

Answer 1

`7sin^2x-14sinx+2=-5\\\\7sin^2x-14sinx+2+5=0\\\\7sin^2x-14sinx+7=0\ \ \ \ \ |divide\ both\ sides\ by\ 7\\\\sin^2x-2sinx+1=0\\\\(sinx-1)^2=0\iff sinx-1=0\\\\sinx=1\Rightarrow x=(\pi)/(2)+2k\pi=(4k+1)/(2)\pi\ (k\in\mathbb{Z})`