What's the formula for cos3A?

lunnatican4

lunnatican4

Answered

2021-12-17

What's the formula for cos3A?

Answer & Explanation

Linda Birchfield

Linda Birchfield

Expert

2021-12-18Added 39 answers

cos3A
=cos(A+2A)
=cos(A)cos(2A)sin(A)sin(2A)
=cos(A)(2cos2(A)1)sin(A)(2sin(A)cos(A))
=2cos3(A)cos(A)2sin2(A)cos(A)
=2cos3(A)cos(A)2(1cos2(A))×cos(A)
=2cos3(A)cos(A)2(cos(A)cos3(A))
=cos3(A)cos(A)2cos(A)+cos3(A)
=4cos3(A)cos(A)2cos(A)
=4cos3(A)3cos(A)
Bukvald5z

Bukvald5z

Expert

2021-12-19Added 33 answers

cos3(A)=4cos3(A)3cos(A)
RizerMix

RizerMix

Expert

2021-12-30Added 437 answers

The formula for cos3A is 4cos3A3cosA

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