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Trigonometric Functions

Get chapter-wise JEE Main & Advanced questions with solutions

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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Q JEE MAIN 2020
If $\frac{\sqrt{2} \sin \alpha}{\sqrt{1+\cos 2 \alpha}}=\frac{1}{7}$ and $\sqrt{\frac{1-\cos 2 \beta}{2}}=\frac{1}{\sqrt{10}}, \alpha, \beta, \in\left(0, \frac{\pi}{2}\right)$, then $\tan (\alpha+2 \beta)$ is equal to
JEE Main Mathematics Hard
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Q JEE MAIN_2021_
Let $S$ be the sum of all solutions (in radians) of the equation $\sin ^4 q+\cos ^4 q-\sin q \cos q=0$ in $[0,4 \pi]$. Then...
JEE Main Mathematics Medium
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Q JEE MAIN_2021_
The sum of all values of $x$ in $[0,2 \pi]$, for which $\sin x+\sin 2 x+\sin 3 x+\sin 4 x=0$, is equal to:
JEE Main Mathematics Medium
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Q JEE MAIN_2021
The number of solutions of $\sin ^7 x+\cos ^7 x=1, x \in[0,4 \pi]$ is equal to
JEE Main Mathematics Medium
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Q JEE-MAIN 2021
The number of solutions of the equation $x+2 \tan x=\frac{\pi}{2}$ in the interval $[0,2 \pi]$ is :
JEE Main Mathematics Easy
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