Let P=\θ [0, 4π]: tan ²θ≠1 and S=: 2(cos ⁸θ- sin ⁸θ) sec 2θ=a², θ P. Then n(S) is:

Trigonometry: JEE Main 2026 Mathematics question

JEE Main 2026 · 2 Apr, Evening shift · Q13

JEE Main 20262 Apr, Evening shiftMathematicsEasyTrigonometry118× since 2002

Let

P=\{\theta\in[0, 4\pi]: \tan^2\theta\ne1\}

and

S=\{a\in\mathbf{Z}: 2(\cos^8\theta-\sin^8\theta)\sec2\theta=a^2, \theta\in P\}

. Then

n(S)

is :

JEE Main 2026 · 2 Apr, Evening shift · Q13

JEE Main 20262 Apr, Evening shiftMathematicsEasyTrigonometry118× since 2002

Let

P=\{\theta\in[0, 4\pi]: \tan^2\theta\ne1\}

and

S=\{a\in\mathbf{Z}: 2(\cos^8\theta-\sin^8\theta)\sec2\theta=a^2, \theta\in P\}

. Then

n(S)

is :