JEE Main 2019MathematicsInverse Trigonometric FunctionsEasyMCQ

JEE Main 2019 — Inverse Trigonometric Functions Question with Solution

JEE Main 2019 (09 Jan Shift 2)

Question

If x=sin-1sin⁡10  and  y=cos-1 cos⁡10, then y-x is equal to:

Choose an option

Show full solutionCorrect option: B
Correct answer
Bπ

Step-by-step explanation



From the graph of y=sin-1⁡sin⁡x, it is clear that sin-1⁡(sin⁡10)=3π-10



From the graph of y=cos-1⁡cos⁡x

It is clear that cos-1⁡cos⁡10=4π-10

Hence y-x=4π-10 -3π-10=π

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About this question

This is a previous-year question from JEE Main 2019, 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.