JEE Main 2026 — Trigonometric Ratios & Identities Question with Solution
JEE Main 2026 (04 April Shift 1)
Question
If and , then is equal to _____.
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Show full solutionCorrect answer: 2
Correct answer
2
Step-by-step explanation
Consider the general term .
We can rewrite this by multiplying and dividing by :
Using , we get:
Applying this identity to each term of :
Adding these terms, the series telescopes:
We are given .
Substituting into the equation for :
Answer:
We can rewrite this by multiplying and dividing by :
Using , we get:
Applying this identity to each term of :
Adding these terms, the series telescopes:
We are given .
Substituting into the equation for :
Answer:
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This is a previous-year question from JEE Main 2026, 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.