Trigonometric Identities Section

AI Thread Summary
The discussion revolves around solving the equation 3sinx = 1 + cos 2x, which simplifies to 2sin2x + 3sinx = 2. The user is uncertain about the next steps after rearranging the equation. They reference a solution from their book indicating that the angles 30° and 150° are the answers. The user seeks clarification on the implications of subtracting 2 from both sides of the equation.
Paomaui
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Homework Statement



3sinx = 1 + cos 2x


Homework Equations



N/A

The Attempt at a Solution



3sinx = 1+1 - 2sin2x (Trigonometric Identity)
3sinx = 2-2sin2x
2sin2x + 3sinx = 2

I do not know where to go from there.
My book tells me the answer is 30o and 150o
 
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What happens when you take 2 away from both sides?
 

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