13. 1 + cos2 2x = 2 (cos4 x + sin 4
4x)
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Answered by
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Solution:
R.H.S
= 2( Cos^4x + sin^4x)
=2{( Cos^2x +sun ^2 x) - 2sin^2 x cos^2x
=2 - 4sin^2x cos^2x
=2 - 4. 1- Cos ^2x × 1+Cos ^2 2x
________. _________
2 2
= 2-( 1-Cos ^2 2x )
= 1+ Cos ^2 2x = 2
Hence Proved.
Thank you....
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