Prove that sinθ(cosecθ- sinθ) = cos^2θ
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Answer:
sinθ(cosecθ-sinθ) = cos²θ
L.H.S = sin x cosec - sin x sin --(sin*cosec = 1)
= 1 - sin²θ = cos²θ---(sin² + cos² = 1)
L.H.S = R.H.S
sinθ(cosecθ-sinθ) = cos²θ
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