NCERT Exercise 8.3 - Q4(iii) - Introduction to Trigonometry
Question: Prove the following identities, where the angles involved are acute angles for which the expressions are defined. (iii) tan θ/(1 − cot θ) + cot θ/(1 — tan θ) = 1 + sec θ cosec θ [Hint : Write the expression in terms of sin θ and cos θ]
Answer: tan θ/(1 − cot θ) + cot θ/(1 — tan θ) = 1 + sec θ cosec θ.
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