JEE Main 2023MathematicsInverse Trigonometric FunctionsHardMCQ

JEE Main 2023 — Inverse Trigonometric Functions Question with Solution

JEE Main 2023 (24 Jan Shift 1)

Question

tan-11+33+3+sec-18+436+33=

Choose an option

Show full solutionCorrect option: C
Correct answer
Cπ3

Step-by-step explanation

tan-11+33+3+sec-18+436+33

=tan-11+331+3+sec-142+332+3

=tan-113+sec-143

=tan-113+cos-132=π6+π6=π3

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About this question

This is a previous-year question from JEE Main 2023, covering the Inverse Trigonometric Functions chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.