Question

Find all the solutions to the equation 7sin^2x -14sinx+2=-5

Answer 1

I will get you started.

Let sin x = u

Then 7sin^2x -14sinx+2=-5 become

7u^2 - 14u = - 5

7u^2 - 14u + 5 = 0

Steps:

1. Solve for u.

2. Back- substitute for u.

3. Take the arcsin on both sides to find the angle(s).

You finish.