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Rewrite as single trig function: sin(8x)cosx-cos(8x)sinx

I know I can simplify sin(8x) into 4sin2xcos2xcos4x, but I'm stuck after that

2 answers

how about using

sin(a-b) = sina cosb - cosa sinb
using sin(a-b) =sina cosb - cosa sinb
sin (8x-1x) = sin8x cosx - cos8x sinx
therefore the answer is sin7x
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