Prove that Sin3x/Sinx-Cos3x/Cos3x/Cosx=2 .
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To prove: [math]\sin(3x) \sin^3(x) + \cos(3x)\cos^3(x) = \cos^3(2x)[/math] [math]L.H.S. ... + \cos(2x + x)\cos^3(x)[/math] [math]= (\sin(2x)\cos(x) + \sin(x)\cos(2x)) \sin^. ... How do I prove this, sin 3x = 3cos^2x* sinx-sin^3x? ..... However, if the RHS is cos^3(2x) instead of cos^2(2x), you can operate on the LHS to verify the identity.
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