NCERT Exercise 8.3 - Q4(ix) - Introduction to Trigonometry
Question: Prove the following identities, where the angles involved are acute angles for which the expressions are defined. (ix) (cosec A — sin A)(sec A — cos A) = 1/(tan A + cot A) [Hint : Simplify LHS and RHS separately]
Answer: (cosec A — sin A)(sec A — cos A) = 1/(tan A + cot A).
Full step-by-step NCERT solution with diagrams on Something by Zero.