JEE Main 2023MathematicsInverse Trigonometric FunctionsEasyMCQ

JEE Main 2023 — Inverse Trigonometric Functions Question with Solution

JEE Main 2023 (31 Jan Shift 1)

Question

If sin-1α17+cos-145-tan-17736=0,0<α<13, then sin-1sinα+cos-1cosα is equal to

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Show full solutionCorrect option: A
Correct answer
Aπ

Step-by-step explanation

Given,

sin-1α17+cos-145-tan-17736=0

⇒sin-1α17=tan-17736-cos-145

⇒sin-1α17=tan-17736-tan-134

⇒sin-1α17=tan-17736-341+7736×34

⇒sin-1α17=tan-1815

⇒sin-1α17=sin-1817

⇒α=8

Now solving sin-1sinα+cos-1cosα=sin-1sinα+cos-1cosα

⇒sin-1sin8+cos-1cos8=3π-8+8-2π=π

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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.