Your idea is a good one . . .
We need two Multiple-Angle Identities: .
We are given: .
Apply identities: .
And we have: .
. . which factors: .
We have two equations to solve:
. . Quadratic Formula: .
sin 3x + cos 2x = 0
I need to solve for x between the interval [0,2pi)
In the previous chapter there was a problem that wanted us to prove that sin 3x = 3cos^2xsinx-sin^3x so i decided to try using that. However i'm not sure if i'm going down the right path. How would you guys do it?
Wolfram Alpha also got
2(pi * n-tan inverse(1+(root 5)+(root 5 +2(root5))) I'm not sure how to get tan out of all that stuff.