pre cal
posted by Terri on .
simplify sin (8x) using only sin(x) and cos (x)

sin8x = 2sin4xcos4x
= 4sin2xcos2x(cos^2(2x)sin^2(2x))
= 8sinx*cosx(cos^2(x)sin^2(x))[(cos^2(x)sin^2(x)]^2  4sin^2(x)cos^2(x)]
and you can expand that in many ways, one of which is, using s=sin(x) c=cos(x):
8sc^7  56s^3c^5 + 56s^3c^5  8s^7c