If 2 tan⁻¹(cos x) = tan⁻¹(2 cosec x), then sin x + cos x equals: A. √2 B. 1/√2 C. 1 D. √3/2 Answer: A) √2 Explanation: From earlier, 2tan⁻¹(cos x) = tan⁻¹(2 cosec x) gives x = π/4. Then sin π/4 + cos π/4 = 1/√2 + 1/√2 = √2.

imo class 12 inverse trigonometric functions

If 2 tan⁻¹(cos x) = tan⁻¹(2 cosec x), then sin x + cos x equals:

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If 2 tan⁻¹(cos x) = tan⁻¹(2 cosec x), then sin x + cos x equals:

Answer: A) √2

Explanation: From earlier, 2tan⁻¹(cos x) = tan⁻¹(2 cosec x) gives x = π/4. Then sin π/4 + cos π/4 = 1/√2 + 1/√2 = √2.