Let S=[-\pi, \frac{\pi}{2})-\{-\frac{\pi}{2},-\frac{\pi}{4},-\frac{3 \pi}{4}, \frac{\pi}{4}\}. Then the number of elements in the set ∣ A=\{\theta \in S: \tan \theta(1+\sqrt{5} \tan (2 \theta))=\sqrt{5}-\tan (2 \theta)\} is _______. [28-Jul-2022-Shift-2]

JEE Mains 28-July-2022 Shift 2 Solved Paper

Section: Mathematics

Question : 27 of 90

Marks: +1, -0

Let S=[−π,‌

)−{−‌

,−‌

3π

,‌

}. Then the number of elements in the set ∣A={θ∈S:tan‌θ(1+√5‌tan(2θ))=√5−tan(2θ)} is _______.

[28-Jul-2022-Shift-2]

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