Question

Find all solutions to the equation.

7 sin^2x - 14 sin x + 2 = -5

Answer 1

I already factored it into \[7(sinx)^2=0\] i dont know what to do now

Answer 2

Is the answer \[\pi/2\]?

Answer 3

The factorization is not exactly correct.
You can substitute \(s=sin(x)\) to give
\[7s^2-14s+7=0\]
which factorizes to
\[s^2-2s+1=0\]
Can you solve for s?

Answer 4

or even better:
\[(s-1)^2=0\]
can you solve for s, and hence x?

Answer 5

(x-1)^2

Answer 6

oh wait i meant (sinx-1)^2

Answer 7

That's great! Continue!

Answer 8

i dont know what to do now

Answer 9

Hint: