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Prove that cosec {1 - ^2 } = 1.

Question

Prove that $cosec θ 1 - cos^{2} θ = 1$ .

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Prove that

cosec θ 1 - cos^{2} θ = 1

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Text solutionVerified

Identity :

sin^{2} θ + cos^{2} θ = 1

LHS =

cosec θ (1 - co s^{2} θ)

= cosec θ sin^{2} θ

= cosec θ sin θ

= \frac{1}{s in θ} \times s in θ

= 1

= R H S

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