1

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MCQ (Single Correct Answer)

+4

-1

The value of 2sin (12$$^\circ$$) $$-$$ sin (72$$^\circ$$) is :

2

JEE Main 2022 (Online) 24th June Evening Shift

MCQ (Single Correct Answer)

+4

-1

The number of solutions of the equation

$$\cos \left( {x + {\pi \over 3}} \right)\cos \left( {{\pi \over 3} - x} \right) = {1 \over 4}{\cos ^2}2x$$, $$x \in [ - 3\pi ,3\pi ]$$ is :

3

JEE Main 2022 (Online) 24th June Morning Shift

MCQ (Single Correct Answer)

+4

-1

Let $$S = \left\{ {\theta \in [ - \pi ,\pi ] - \left\{ { \pm \,\,{\pi \over 2}} \right\}:\sin \theta \tan \theta + \tan \theta = \sin 2\theta } \right\}$$.

If $$T = \sum\limits_{\theta \, \in \,S}^{} {\cos 2\theta } $$, then T + n(S) is equal to :

4

JEE Main 2021 (Online) 1st September Evening Shift

MCQ (Single Correct Answer)

+4

-1

If n is the number of solutions of the equation

$$2\cos x\left( {4\sin \left( {{\pi \over 4} + x} \right)\sin \left( {{\pi \over 4} - x} \right) - 1} \right) = 1,x \in [0,\pi ]$$ and S is the sum of all these solutions, then the ordered pair (n, S) is :

$$2\cos x\left( {4\sin \left( {{\pi \over 4} + x} \right)\sin \left( {{\pi \over 4} - x} \right) - 1} \right) = 1,x \in [0,\pi ]$$ and S is the sum of all these solutions, then the ordered pair (n, S) is :

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

Number in Brackets after Paper Indicates No. of Questions

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