JEE Main 2022MathematicsInverse Trigonometric FunctionsEasyMCQ

JEE Main 2022Inverse Trigonometric Functions Question with Solution

JEE Main 2022 (25 Jun Shift 2)

Question

The value of tan-1cos15π4-1sinπ4 is equal to

Choose an option

Show full solutionCorrect option: B
Correct answer
B-π8

Step-by-step explanation

Given,

 tan-1cos15π4-1sinπ4

=tan-1cos4π-π4-1sinπ4

=tan-112-112

=tan-11-2 =-tan-12-1

=-π8

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About this question

This is a previous-year question from JEE Main 2022, 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.