Question

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

Answer 1

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

Answer 2

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

Answer 3

It is 7sin^2x

Answer 4

@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.

Answer 5

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

Answer 6

Factor.
Set each factor equal to 0 and solve.

Answer 7

Thank you so much! Have a good night!

Answer 8

yw