Math, asked by BrainlyUser789, 2 months ago

differentiatie (sinx.cos^2 x + cosx. sin^2 x)​

Answers

Answered by karthika1042003m
1

Answer:

ans: 2cos³xsinx-2cosxsin³x+cos³x-sin³x

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Attachments:
Answered by AngeIianDevil
61

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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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