differentiatie (sinx.cos^2 x + cosx. sin^2 x)
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ans: 2cos³xsinx-2cosxsin³x+cos³x-sin³x
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sin2x=2sinxcosx
Aim : - To differentiate the identity to prove
cos2x=cos2x−sin2x
sin2x=2sinxcosx
differentiate both sides with respect to x
2cos2x=2sinx(−sinx)+2cosxcosx
2cos2x=2[cos2x−sin2x]
cos2x=cos2x−sin2x
Hence proved.
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