JEE Main 2021 — Inverse Trigonometric Functions Question with Solution
From: JEE Main 2021 (Online) 27th August Evening Shift
Question
Let M and m respectively be the maximum and minimum values of the function
f(x) = tan1 (sin x + cos x) in , then the value of tan(M m) is equal to :
f(x) = tan1 (sin x + cos x) in , then the value of tan(M m) is equal to :
Choose an option
Show full solutionCorrect option: D
Correct answer
D
Step-by-step explanation
Let g(x) = sin x + cos x = sin
g(x) for x [0, /2]
f(x) = tan1 (sin x + cos x)
tan
g(x) for x [0, /2]
f(x) = tan1 (sin x + cos x)
tan
Practice this on the real CBT interface
Solve this JEE Main question (and the rest of the Inverse Trigonometric Functions chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.
Solve interactively →About this question
This is a previous-year question from JEE Main 2021, 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.