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Answer:
L.H.S = sin6a+cos6a+3sin2acos2a
= sin6a+cos6a+3sin2acos2a(sin2a+cos2a)
Since,
(sin2a+cos2a) = 1
=(sin2a)3(cos2a)3+3sin2acos2a(sin2a+cos2a)
= (sin2a+cos2a)3
Since; a3+b3+3ab(a+b)
= (a+b)3
= 13= 1= R.H. S
Hence proved.
Step-by-step explanation:
hope it helps......
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