JEE Main 2020MathematicsInverse Trigonometric FunctionsMediumMCQ

JEE Main 2020 — Inverse Trigonometric Functions Question with Solution

JEE Main 2020 (05 Sep Shift 1)

Question

If S is the sum of the first 10 terms of the series, tan-113+tan-117+tan-1113+tan-1121+…… then tan(S) is equal to :

Choose an option

Show full solutionCorrect option: A
Correct answer
A56

Step-by-step explanation

S=tan-113+tan-117+tan-1113+…… up to10 terms.

S=tan-12-11+1.2+tan-13-21+2.3+tan-14-31+3.4+……+tan-111-101+11.10

⇒S=tan-12-tan-11+tan-13-tan-12+……+tan-111-tan-110

⇒S=tan-111-tan-11

⇒S=tan-111-11+11·1=tan-11012

∴tan(S)=56

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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.