Question

Find all solutions to the equation.

7 sin2x - 14 sin x + 2 = -5

Answer 1

you mean "sine - squared -x"?

Answer 2

\[7\sin^2x-14\sin x+2=-5\]

Answer 3

Yes, that's what I meant.

Answer 4

7sin^2x-14sinx+2=-5
7sin^x-14sinx+7=0
sin^2x-2sinx+1=0
(sinx-1)^2=0
sinx-1=0

sinx=1=sin\[\frac{ \pi }{ 2 }\]
x=\[\frac{ \pi }{ 2 }\]