JEE Main 2020MathematicsInverse Trigonometric FunctionsMediumMCQ

JEE Main 2020 — Inverse Trigonometric Functions Question with Solution

JEE Main 2020 (03 Sep Shift 1)

Question

2π-sin-145+sin-1513+sin-11665 is equal to :

Choose an option

Show full solutionCorrect option: C
Correct answer
C3π2

Step-by-step explanation

sin-145+sin-1513+sin-11665

=tan-143+tan-1512+tan-11663

=tan-143+5121-43·512+tan-11663

=tan-16316+tan-11663=π2

∴2π-π2=3π2

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About this question

This is a previous-year question from JEE Main 2020, 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.