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Trigonometric Functions

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2019
Let $S=\left\{\theta \in[-2 \pi, 2 \pi] ; 2 \cos ^2 \theta+3 \sin \theta=0\right\}$ . Then the sum of the elements of S is :
JEE Main Mathematics Easy
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Q JEE MAIN_2019_
All the pairs ( $x, y$ ) that satisfy the inequality $2^{\sqrt{\ln ^2 x-2 \sin x+5}} \cdot \frac{1}{4^{\sin ^2 y}} \leq 1$ also satisfy the...
JEE Main Mathematics Medium
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Q JEE-Advanced 2025
Let $L_1$ be the line of intersection of the planes given by the equations $$ 2 x+3 y+z=4 \text { and } x+2 y+z=5 $$...
JEE Advance Mathematics Easy
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Q JEE-MAIN 2019
The maximum value of $3 \cos \theta+5 \sin \left(\theta-\frac{\pi}{6}\right)$ for any real value of $\theta$ is
JEE Main Chemistry Easy
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Q JEE MAIN 2019
If $0 \leq x<\frac{\pi}{2}$, then the number of values of $x$ for which $\sin x-\sin 2 x+\sin 3 x=0$, is
JEE Main Mathematics Easy
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Q JEE MAIN_2021_
If $y(x)=\cot ^{-1}\left(\frac{\sqrt{1+\sin x}+\sqrt{1-\sin x}}{\sqrt{1+\sin x}-\sqrt{1-\sin x}}\right), x \in\left(\frac{\pi}{2}, \pi\right)$, then $\frac{d y}{d x}$ at $x=\frac{5 \pi}{6}$ is :
JEE Main Mathematics Medium
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Q JEE-MAIN 2020
Which of the following points lies on the tangent to the curve $x^4 e^y+2 \sqrt{y+1}=3$ at the point (1, 0)?
JEE Main Chemistry Easy
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Q JEE Main 2019
The sum of all values of $\theta \in\left(0, \frac{\pi}{2}\right)$ satisfying $\sin ^2 2 \theta+\cos ^4 2 \theta=\frac{3}{4}$ is
JEE Main Mathematics Medium
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Q JEE Main 2019
Consider a triangular plot ABC with sides AB = 7 m, BC = 5 m and CA = 6 m. A vertical lamp-post at the...
JEE Main Mathematics Medium
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Q JEE MAIN 2020
If the tangent to the curve, $y=e^x$ at a point $\left(c, e^c\right)$ and the normal to the parabola, $y^2=4 x$ at the point $(1,2)$ intersect...
JEE Main Mathematics Easy
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