Question

Find all solutions to the equation.

7 sin2x - 14 sin x + 2 = -5

Answer 1

Is that
$$
7\sin^2x-14\sin x+ 2=-5
$$
?

Answer 2

yes

Answer 3

set
$$
y=\sin x
$$
Then solve
$$
7y^2-14y+ 7=0
$$
Can you do that?

Answer 4

You can use the quadratic formula for that
Once you get \(y\)
Then solve for \(x\)
$$
y=\sin x\\
x=\sin^{-1}y
$$

Answer 5

whats the answer?

Answer 6

It's your turn.

Do you know the quadratic formula?