Question

Find all solutions to the equation. 7 sin2x - 14 sin x + 2 = -5

Answer 1

7sin²x-14sinx+2= -5
7sin²x-14sinx+7=0
7(sin²x-2sinx+1)=0
sin²x-2sinx+1=0
(sinx-1)(sinx-1)=0
sinx-1=0
sinx=1
$x= \frac{ \pi }{2} +2n \pi$  where n is an integer