JEE Main 2026 — Trigonometric Equations Question with Solution
JEE Main 2026 (06 April Shift 1)
Question
Let . Then is equal to:
Choose an option
Show full solutionCorrect option: B
Correct answer
B
Step-by-step explanation
Given equation:
Using half-angle formulas, we get:
This gives two cases:
Case 1:
Since , the possible values are .
Case 2:
Since , the possible values are:
For ,
For ,
Thus, the set of solutions is .
Sum of all solutions in :
Answer:
Using half-angle formulas, we get:
This gives two cases:
Case 1:
Since , the possible values are .
Case 2:
Since , the possible values are:
For ,
For ,
Thus, the set of solutions is .
Sum of all solutions in :
Answer:
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This is a previous-year question from JEE Main 2026, 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.