Prove the following identities
= sinx cosx
LHS
We know that
We know that a3 + b3 = (a + b) (a2 + b2- ab)
= 1 – (sin2x + cos2x) + sinx cosx
We know that sin2x + cos2x = 1.
= 1 – 1 + sinx cosx
= RHS
Hence proved.