sin³theta.cos theta + cos³theta.sin theta
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L.H.S. =
→
→
→
→ cos²θ + sin²θ - cosθsinθ + cos²θ + sin²θ + cosθsinθ
→ cos²θ + sin²θ + cos²θ + sin²θ
→ 2cos²θ + 2sin²θ
→ 2(cos²θ + sin²θ)
→ 2(1)
→ 2
= R.H.S.
Hence, proved !!
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