Prove That Sin(A + B) Sin(A – B) = Cos^2B – Cos^2A

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Ask a Question Prove that sin(A + B) sin(A – B) = cos^2B – cos^2A ← Prev Question Next Question → 0 votes 7.6k views asked Mar 7, 2020 in Trigonometry by Sunil01 (65.3k points) retagged Mar 7, 2020 by Sunil01

Prove that sin(A + B) sin(A – B) = cos2B – cos2A

• trigonometry
• class-12

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1 Answer

+1 vote answered Mar 7, 2020 by Mohini01 (65.6k points) selected Mar 8, 2020 by Sunil01 Best answer

L.H.S = sin(A + B) sin(A – B) = (sinA cosB + cosA sinB) (sin A cosB – CosA sinB)

= sin2A cos2B – cos2A sin2B = (1 – Cos2A) cos2B – cos2A (1 – cos2B)

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