JEE Main 2026 Mathematics question

Mathematics Trigonometric Equations JEE Main 2026

Not in JEE Main syllabus

Let P = {θ ∈ [0, 4π] : tan²θ ≠ 1} and S = {a ∈ ℤ : 2(cos⁸θ − sin⁸θ)sec2θ = a², θ ∈ P}. Then n(S) is:

(A)0Correct
(B)1
(C)2
(D)3

Answer: (A)

Solution

cos⁸θ − sin⁸θ = cos2θ(1 − ½sin²2θ), so the expression simplifies to 2 − sin²2θ ∈

See the full step-by-step solution

Create a free account to read the complete working, and practise questions like this in a timed test.

Create a free account

Question ID VK-015122