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Prove: sin θ - sin θ•cos2 θ = sin3 θ. You must show all work.

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idk even where to begin
Just thought Maybe you can take the right hand side and show the left hand side Try to play with this thought: sin(3x) is sin(2x+x)
That should be a hint to use the sum identity for sin

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Other answers:

Memorize the identities for cos 2*theta
Though I could be wrong but I don't think this is an identity.
One way to find out is to find a counterexample
try theta=pi/2 does not work
cos(2x)=2cos^2 (x)-1
Maybe the problem has been written incorrectly.
Unless the instructions say to: Prove if true and give a counterexample if false. If so then I have accidentally given you the answer.
cos(2x)=1-2sin^2 (x) so what's sin(x)*cos(2x)?

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