JEE Main 2016MathematicsTrigonometric EquationsMediumMCQ

JEE Main 2016 — Trigonometric Equations Question with Solution

JEE Main 2016 (10 Apr Online)

Question

Let P=θ:sinθ-cosθ=2cosθ and Q=θ:sinθ+cosθ=2sinθ, be two sets. Then

Choose an option

Show full solutionCorrect option: C
Correct answer
CP=Q

Step-by-step explanation

P: sinθ-cosθ= 2cosθ

⇒sinθ=cosθ+ 2cosθ

tanθ= 2+1

Q:sinθ+cosθ= 2sinθ⇒2-1sinθ=cosθ  

=tanθ= 12-1= 2+1

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About this question

This is a previous-year question from JEE Main 2016, covering the Trigonometric Equations 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.