JEE Main 2020 — Inverse Trigonometric Functions Question with Solution
From: JEE Main 2020 (Online) 5th September Morning Slot
Question
If S is the sum of the first 10 terms of the series
then tan(S) is equal to :
then tan(S) is equal to :
Choose an option
Show full solutionCorrect option: D
Correct answer
D
Step-by-step explanation
S =
=
Tr =
= tan–1(r + 1) – tan–1r
T1 = tan–12 – tan–11
T2 = tan–13 – tan–12
T3 = tan–14 – tan–13
.
.
.
T10 = tan-111 – tan–110
S = tan–111 – tan–11 =
tan(S) =
= =
=
Tr =
= tan–1(r + 1) – tan–1r
T1 = tan–12 – tan–11
T2 = tan–13 – tan–12
T3 = tan–14 – tan–13
.
.
.
T10 = tan-111 – tan–110
S = tan–111 – tan–11 =
tan(S) =
= =
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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.