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Prove the following identities: cos^4A-...

Prove the following identities: `cos^4A-cos^2A=sin^4A-sin^2A`

Text Solution

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Given,
LHS.
=`cos^2A(1−cos^2A) `
=`cos^2Asin^2A`[as,`sin^2A+cos^2A=1`]
RHS
...
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