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Home › CBSE Class 12 (Commerce) › Mathematics › Inverse Trigonometric Functions › tan⁻¹(1/2) + tan⁻¹(1/3) simplifies to

tan⁻¹(1/2) + tan⁻¹(1/3) simplifies to

Aπ/3
Bπ/6
Cπ/2
Dπ/4
Answer & Solution
Correct answer: D. π/4
tan of the sum is (1/2 + 1/3)/(1 - 1/6) = (5/6)/(5/6) = 1, and the sum lies in (0, π/2), so it is π/4.
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