Use power reducing formula to simplify (\cos3x)^4 to find powers of cosine

Annette Arroyo

Annette Arroyo

Answered question

2021-08-18

Use power reducing formula to simplify (cos3x)4 to find powers of cosines

Answer & Explanation

delilnaT

delilnaT

Skilled2021-08-19Added 94 answers

(cos3x)4 
Knowing this cos(3x)=4cos3x3cosx 
So, 
(cos3x)4=(4cos3x3cosx)4=(4cos3x3cosx)2(4cos3x3cosx)2 
=(42cos6n+32cos2x24cos4x)(42cos6x+32cos2x24cos4x) 
=256cos12+144cos2x384cos10x+144cos8x+81cos4x216cos6x384cos10x216cos6x+576cos8x 
=256cos12x768cos10x+864cos8x43

Jeffrey Jordon

Jeffrey Jordon

Expert2021-12-10Added 2605 answers

Answer is given below (on video)

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