What is the formula of cos(4x)

Kinley Richmond

Kinley Richmond

Answered question

2023-02-19

What is the formula of cos4x?

Answer & Explanation

Lilly Maldonado

Lilly Maldonado

Beginner2023-02-20Added 8 answers

cos4x=cos2x+2xcos4x=cos2x.cos2x-sin2x.sin2x[cos(a+b)=cosa.cosb-sina.sinb]cos4x=2cos2x-1.2cos2x-1-(2sinx.cosx)(2sinx.cosx)[sin2x=2sinx.cosx]cos4x=2cos2x-12-(2sinx.cosx)2cos2x=2cos2x-1cos4x=4cos4x-4cos2x+1-(4sin2x.cos2x)cos4x=4cos4x-4cos2x+1-41-cos2x.cos2xcos4x=8cos4x-8cos2x+1

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