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expand (sin2x)^2
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\[LARGE (sin2x)^2=(2sinxcosx)^2=4sin^2xcos^2x\]
=(2sinxcosx)^2 =4*[(1-cos2x)/2]*[(1+cos2x)/2] =(1-cos2x)*(1+cos2x) =1-(co2x)^2
=sin(2x)^2
we come back ,haha
Taylor Expansion for sin^2(2x)? (sin2x)^2 = (2x - (8x^3)/3! + (32x^5)/5! . . .)^2 = (2x - (8x^3)/3! + (32x^5)/5! . . . )(2x - (8x^3)/3! + (32x^5)/5! . . . )
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