JEE Main 2019MathematicsInverse Trigonometric FunctionsMediumMCQ

JEE Main 2019 — Inverse Trigonometric Functions Question with Solution

JEE Main 2019 (08 Apr Shift 1)

Question

If α=cos-135 , β=tan-113 , where 0<α,β<π2, then α-β is equal to

Choose an option

Show full solutionCorrect option: C
Correct answer
Csin-1⁡9510

Step-by-step explanation

     α=cos-135=tan-143
∴a-β=tan-143-tan-113
=tan-143-131+43×13
=tan-11139
=tan-1913

=sin-1⁡9510

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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.