Prove sin(x) - sin(x) × cos2(x) = sin3(x)

Here is the step by step demonstrations to prove sin(x) - sin(x) × cos2(x) = sin3(x) trig identity easily.


Sin(x) - sin(x) × cos2(x) = sin3(x) - Trig Identities Proof

LHS
= sin(x) - sin(x) × cos2(x)

= sin(x) - sin(x) × (1 - sin2(x))

= sin(x) - sin(x) + sin3(x)

= sin3(x)

= RHS

Hence Proved.
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