Solving the equation \sin 5x=16 \sin^5 x

William Curry

William Curry

Answered question

2022-01-15

Solving the equation sin5x=16sin5x

Answer & Explanation

Ella Williams

Ella Williams

Beginner2022-01-16Added 28 answers

sin5x=16sin5x
sin3xcos2x+cos3xsin2x=16sin5x
(3sinx4sin3x)(12sin2x)+2sinx(4cos2x3)cos2x=16sin5x
3sinx(34sin2x)(12sin2x)+2sinx(14sin2x)(12sin2x)=16sin4xsinx
sinx(310sin2x+210sin2x)=0
sinx=0,±12

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