Q7 of 118 Page 5

Prove the following identities

LHS


We know that a3 ± b3 = (a ± b) (a2 + b2∓ ab)



We know that sin2x + cos2x = 1.


= 1 - sinx cosx + 1 + sinx cosx


= 2


= RHS


Hence proved.


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