JEE Main 2013MathematicsTrigonometric Ratios & IdentitiesEasyMCQ

JEE Main 2013 — Trigonometric Ratios & Identities Question with Solution

JEE Main 2013 (07 Apr)

Question

The expression tanA1-cotA+cotA1-tanA can be written as :

Choose an option

Show full solutionCorrect option: D
Correct answer
DsecAcosecA+1

Step-by-step explanation

Given tanA1-cotA+cotA1-tanA

=sin2AcosAsinA-cosA+cos2AsinAcosA-sinA

=sin3A-cos3Asin A cos Asin A-cos A

=sin2A+cos2A+sin A cos Asin A cos A

=secAcosecA+1

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About this question

This is a previous-year question from JEE Main 2013, covering the Trigonometric Ratios & Identities 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.