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

Question

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

jhonyy9 · Answer

like a first step note sinx = t and solve this quadratic for t 
so when you get roots rewrite it for 

t = sinx than x_1 = arcsin t_1 and x_2 = arcsin t_2

hope this will help you

mertsj · Answer

Is it 7sin(2x) or 7sin^2x ???

anonymous · Answer

It is 7sin^2x

anonymous · Answer

@jhonyy9 I am sure it does, but I am not good at math whatsoever therefore your answer was a bit complex for me to understand. Thanks for replying though! It is very appreciated.

mertsj · Answer

$$7\sin ^2x-14\sin x+2=-5$$
$$7\sin ^2x-14\sin x+7=0$$
$$\sin ^2x-2\sin x+1=0$$

mertsj · Answer

Factor.  
Set each factor equal to 0 and solve.

anonymous · Answer

Thank you so much! Have a good night!

mertsj · Answer

yw