1

JEE Main 2023 (Online) 11th April Morning Shift

MCQ (Single Correct Answer)

+4

-1

The number of elements in the set

$$S=\left\{\theta \in[0,2 \pi]: 3 \cos ^{4} \theta-5 \cos ^{2} \theta-2 \sin ^{6} \theta+2=0\right\}$$ is :

2

JEE Main 2023 (Online) 10th April Evening Shift

MCQ (Single Correct Answer)

+4

-1

Let $$S=\left\{x \in\left(-\frac{\pi}{2}, \frac{\pi}{2}\right): 9^{1-\tan ^{2} x}+9^{\tan ^{2} x}=10\right\}$$ and $$\beta=\sum_\limits{x \in S} \tan ^{2}\left(\frac{x}{3}\right)$$, then $$\frac{1}{6}(\beta-14)^{2}$$ is equal to

3

JEE Main 2022 (Online) 29th July Evening Shift

MCQ (Single Correct Answer)

+4

-1

The number of elements in the set $$S=\left\{x \in \mathbb{R}: 2 \cos \left(\frac{x^{2}+x}{6}\right)=4^{x}+4^{-x}\right\}$$ is :

4

JEE Main 2022 (Online) 27th July Evening Shift

MCQ (Single Correct Answer)

+4

-1

Let $$S=\left\{\theta \in\left(0, \frac{\pi}{2}\right): \sum\limits_{m=1}^{9} \sec \left(\theta+(m-1) \frac{\pi}{6}\right) \sec \left(\theta+\frac{m \pi}{6}\right)=-\frac{8}{\sqrt{3}}\right\}$$. Then

Questions Asked from Trigonometric Equations (MCQ (Single Correct Answer))

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