Question

solve sin^2(theta)=2sin(theta) +3

Answer 1

If you take x = sin(theta)
you could rewrite that as x^2 = 2x + 3
and then solve for x
and plug back for sin(theta)

Answer 2

so x will equal 3,-1?

Answer 3

Yup, now you just have to plug back in sin(theta) and get theta all by it's self.

Answer 4

so itll be 3^2=2(3)+3 like that?

Answer 5

Well you already have x = 3
and since you substituted sin(theta) for x you still need to find out what theta is
You have right now that x = 3 and -1
so then sin(theta) would also = 3 and -1

Answer 6

so the answer will be theta = 3, -1

Answer 7

well you still have sin(theta), you can not just get rid of the sine function.
If you use algebra arcsin(sin(theta)) = theta
So you just have to use that logic to solve for theta in the equations you already have.
sin(theta) = 3 &
sin(theta) = -1

Answer 8

thanks

Answer 9

Your welcome!