How to prove the following equation by a

poznateqojh

poznateqojh

Answered question

2022-04-06

How to prove the following equation by a quick method?
sin6x+cos6x=18(3cos4x+5)

Answer & Explanation

Colin Collins

Colin Collins

Beginner2022-04-07Added 10 answers

Using a3+b3=(a+b)33ab(a+b)
(sin2x)3+(cos2x)3=(sin2x+cos2x)33sin2xcos2x(sin2x+cos2x)
=13(2sinxcosx)24
=134(sin22x) using sin2x=2sinxcosx
=134(1cos4x)2 using cos2y=12sin2y

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