JEE Main 2014MathematicsInverse Trigonometric FunctionsEasyMCQ

JEE Main 2014 — Inverse Trigonometric Functions Question with Solution

JEE Main 2014 (19 Apr Online)

Question

The principal value of tan-1cot43π4 is

Choose an option

Show full solutionCorrect option: B
Correct answer
B-π4

Step-by-step explanation

-π2<tan-1x<π2



cot43π4=cot10π+3π4

=cot3π4

=-1

tan-1cot43π4=tan-1-1

=-π4

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About this question

This is a previous-year question from JEE Main 2014, 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.