Prove each of the following identities:
$(1 + cot^{2} θ) sin^{2} θ = 1$

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Prove each of the following identities:

(1 + cot^{2} θ) sin^{2} θ = 1

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Text solutionVerified

(1 + cot^{2} θ) sin^{2} θ = 1

L . H . S = (1 + cot^{2} θ) \times sin^{2} θ

= (csc^{2} θ) \times sin^{2} θ

= \frac{1}{sin ^{2} θ} \times sin^{2} θ

= 1

= R . H . S

Hence proved.

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Question Text	Prove each of the following identities: $(1 + cot^{2} θ) sin^{2} θ = 1$
Answer Type	Text solution:1
Upvotes	150