. (cosec θ + sin θ)(cosec θ – sin θ) = cot2θ + cos2θ
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Answer:
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Step-by-step explanation:
Taking L.H.S
= (cosec θ + sin θ)(cosec θ – sin θ)
On multiplying we get,
= cosec2 θ – sin2 θ
= (1 + cot2 θ) – (1 – cos2 θ) [Using cosec2 θ − cot2 θ = 1 and sin2 θ + cos2 θ = 1]
= 1 + cot2 θ – 1 + cos2 θ
= cot2 θ + cos2 θ
= R.H.S
Hence Proved..
Hope It's Helps...❇️
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