JEE MAIN Trigonometry Previous Year Question Paper and Solution with PDF

JEE MAIN Previous Year Questions (PYQs)

JEE MAIN Trigonometry PYQ

Qus : 1 JEE MAIN PYQ

Given that the inverse trigonometric functions assume principal values only. Let $x,y\in[-1,1]$ such that $\cos^{-1}x-\sin^{-1}y=\alpha$, with $-\dfrac{\pi}{2}\le\alpha\le\pi$. Then, the minimum value of $x^{2}+y^{2}+2xy\sin\alpha$ is:

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2024 (4 April Evening Shift) PYQ

Solution

Qus : 2 JEE MAIN PYQ

If $\sin \theta + \cos \theta = {1 \over 2}$, then 16(sin(2$\theta$) + cos(4$\theta$) + sin(6$\theta$)) is equal to :

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2021 (27 July Morning Shift) PYQ

Solution

Qus : 3 JEE MAIN PYQ

The value of $\cos \dfrac{\pi}{22}\cdot \cos \dfrac{\pi}{23}\cdot \ldots \cdot \cos \dfrac{\pi}{210}\cdot \sin \dfrac{\pi}{210}$ is –

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2019 (10 January Evening Shift) PYQ

Solution

Qus : 4 JEE MAIN PYQ

Let $f_{k}(x)=\dfrac{1}{k}(\sin^{k}x+\cos^{k}x)$ where $x\in\mathbb{R}$ and $k\ge 1$. Then $f_{4}(x)-f_{6}(x)$ equals :

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2014 (Offline) PYQ

Solution

Qus : 5 JEE MAIN PYQ

If $\tan A$ and $\tan B$ are the roots of the quadratic equation $3x^{2}-10x-25=0$, then the value of $3\sin^{2}(A+B)-10\sin(A+B)\cos(A+B)-25\cos^{2}(A+B)$ is :

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2018 (15 April Morning Shift) PYQ

Solution

Qus : 6 JEE MAIN PYQ

$ \text{The expression } \dfrac{\tan A}{1-\cot A,} + \dfrac{\cot A}{1-\tan A,} \text{ can be written as:} $

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2013 (Offline) PYQ

Solution

Qus : 7 JEE MAIN PYQ

Let $f(x) = 3{\sin ^4}x + 10{\sin ^3}x + 6{\sin ^2}x - 3$, $x \in \left[ { - {\pi \over 6},{\pi \over 2}} \right]$. Then, f is :

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2021 (24 February Evening Shift) PYQ

Solution

Qus : 8 JEE MAIN PYQ

Suppose $\theta\in[0,\tfrac{\pi}{4}]$ is a solution of $4\cos\theta-3\sin\theta=1$. Then $\cos\theta$ is:

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2024 (5 April Morning Shift) PYQ

Solution

Qus : 9 JEE MAIN PYQ

Suppose $\theta\in\left[0,\tfrac{\pi}{4}\right]$ is a solution of $4\cos\theta-3\sin\theta=1$. Then $\cos\theta$ is:

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2024 (5 April Morning Shift) PYQ

Solution

Qus : 10 JEE MAIN PYQ

Let $f_k(x)=\dfrac{1}{k}\left(\sin^{k}x+\cos^{k}x\right)$ for $k=1,2,3,\ldots$ Then for all $x\in\mathbb{R}$, the value of $f_4(x)-f_6(x)$ is equal to

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2019 (11 January Morning Shift) PYQ

Solution

Qus : 11 JEE MAIN PYQ

The number of solutions of the equation

$ \cos 2\theta \cos \frac{\theta}{2} + \cos \frac{5\theta}{2} = 2\cos^3 \frac{5\theta}{2} $ in $ \left[ -\frac{\pi}{2}, \frac{\pi}{2} \right] $ is :

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2025 (7 April Evening Shift) PYQ

Solution

Qus : 12 JEE MAIN PYQ

The value of $2\sin \left( {{\pi \over 8}} \right)\sin \left( {{{2\pi } \over 8}} \right)\sin \left( {{{3\pi } \over 8}} \right)\sin \left( {{{5\pi } \over 8}} \right)\sin \left( {{{6\pi } \over 8}} \right)\sin \left( {{{7\pi } \over 8}} \right)$ is :

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2021 (26 August Evening Shift) PYQ

Solution

Qus : 13 JEE MAIN PYQ

If 0 < x, y < $\pi$ and cosx + cosy $-$ cos(x + y) = ${3 \over 2}$, then sinx + cosy is equal to :

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2021 (25 February Evening Shift) PYQ

Solution

Qus : 14 JEE MAIN PYQ

The value of $\int\limits_{ - {\pi \over 2}}^{{\pi \over 2}} {\left( {{{1 + {{\sin }^2}x} \over {1 + {\pi ^{\sin x}}}}} \right)} \,dx$

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2021 (26 August Evening Shift) PYQ

Solution

Qus : 15 JEE MAIN PYQ

If $2\tan^2\theta-5\sec\theta=1$ has exactly $7$ solutions in the interval $\left[0,\dfrac{n\pi}{2}\right]$, for the least value of $n\in\mathbb{N}$, then $\displaystyle \sum_{k=1}^{n}\frac{k}{2^{k}}$ is equal to:

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2024 (27 January Evening Shift) PYQ

Solution

Qus : 16 JEE MAIN PYQ

The value of $36,(4\cos^{2}9^\circ-1)(4\cos^{2}27^\circ-1)(4\cos^{2}81^\circ-1)(4\cos^{2}243^\circ-1)$ is:

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2023 (8 April Evening Shift) PYQ

Solution

Qus : 17 JEE MAIN PYQ

Let M and m respectively be the maximum and minimum values of the function f(x) = tan^$-$1 (sin x + cos x) in $\left[ {0,{\pi \over 2}} \right]$, then the value of tan(M $-$ m) is equal to :

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2021 (27 August Evening Shift) PYQ

Solution

Qus : 18 JEE MAIN PYQ

If $\alpha,\;-\dfrac{\pi}{2}<\alpha<\dfrac{\pi}{2}$ is the solution of $4\cos\theta+5\sin\theta=1$, then the value of $\tan\alpha$ is:

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2024 (29 January Morning Shift) PYQ

Solution

Qus : 19 JEE MAIN PYQ

The maximum value of $3\cos\theta+5\sin\!\left(\theta-\dfrac{\pi}{6}\right)$ for any real value of $\theta$ is:

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2019 (12 January Morning Shift) PYQ

Solution

Qus : 20 JEE MAIN PYQ

$\displaystyle \lim_{x\to \pi/4}\frac{\cot^{3}x-\tan x}{\cos\!\left(x+\frac{\pi}{4}\right)}$ is:

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2019 (12 January Morning Shift) PYQ

Solution

Qus : 21 JEE MAIN PYQ

$96\cos\frac{\pi}{33},\cos\frac{2\pi}{33},\cos\frac{4\pi}{33},\cos\frac{8\pi}{33},\cos\frac{16\pi}{33}$ is equal to:

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2023 (10 April Morning Shift) PYQ

Solution

Qus : 22 JEE MAIN PYQ

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

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2022 (25 June Evening Shift) PYQ

Solution

Qus : 23 JEE MAIN PYQ

If an angle $A$ of $\triangle ABC$ satisfies $5\cos A + 3 = 0$, then the roots of the quadratic equation $9x^{2} + 27x + 20 = 0$ are :

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2018 (16 April Morning Shift) PYQ

Solution

Qus : 24 JEE MAIN PYQ

If $\sin^{4}\alpha+4\cos^{4}\beta+2=4\sqrt{2},\sin\alpha\cos\beta;\ \alpha,\beta\in[0,\pi],$ then $\cos(\alpha+\beta)-\cos(\alpha-\beta)$ is equal to:

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2019 (12 January Evening Shift) PYQ

Solution

Qus : 25 JEE MAIN PYQ

The sum of the solutions $x \in \mathbb{R}$ of the equation $\frac{3 \cos 2 x+\cos ^3 2 x}{\cos ^6 x-\sin ^6 x}=x^3-x^2+6$ is

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2024 (29 January Evening Shift) PYQ

Solution

Qus : 26 JEE MAIN PYQ

If $5\left(\tan^{2}x-\cos^{2}x\right)=2\cos2x+9$, then the value of $\cos4x$ is:

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2017 (Offline) PYQ

Solution

Qus : 27 JEE MAIN PYQ

If the equation cos⁴ $\theta $ + sin⁴ $\theta $ +$\lambda $= 0 has real solutions for $\theta $, then$\lambda $ lies in the interval :

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2 September 2020 (Evening) PYQ

Solution

Qus : 28 JEE MAIN PYQ

$16\sin (20^\circ )\sin (40^\circ )\sin (80^\circ )$ is equal to :

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2022 (26 June Evening Shift) PYQ

Solution

Qus : 29 JEE MAIN PYQ

If $\alpha,\ -\tfrac{\pi}{2} < \alpha < \tfrac{\pi}{2}$ is the solution of $4\cos\theta + 5\sin\theta = 1$, then the value of $\tan\alpha$ is:

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2025 (29 January Morning Shift) PYQ

Solution

Qus : 30 JEE MAIN PYQ

If $\sin x=-\frac{3}{5}$, where $\pi< x <\frac{3 \pi}{2}$, then $80\left(\tan ^2 x-\cos x\right)$ is equal to

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2024 (8 April Morning Shift) PYQ

Solution

Qus : 31 JEE MAIN PYQ

If $2\sin^3x+\sin2x\cos x+4\sin x-4=0$ has exactly $3$ solutions in the interval $\left[0,\dfrac{n\pi}{2}\right],,n\in\mathbb N$, then the roots of the equation $x^2+nx+(n-3)=0$ belong to:

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2024 (30 January Morning Shift) PYQ

Solution

Qus : 32 JEE MAIN PYQ

The value of $\cos \left( {{{2\pi } \over 7}} \right) + \cos \left( {{{4\pi } \over 7}} \right) + \cos \left( {{{6\pi } \over 7}} \right)$ is equal to :

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2022 (27 June Morning Shift) PYQ

Solution

Qus : 33 JEE MAIN PYQ

For $\alpha,\beta\in(0,\dfrac{\pi}{2})$, let $3\sin(\alpha+\beta)=2\sin(\alpha-\beta)$ and a real number $k$ be such that $\tan\alpha=k\tan\beta$. Then, the value of $k$ is equal to:

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2024 (30 January Evening Shift) PYQ

Solution

Qus : 34 JEE MAIN PYQ

If $\cot^{-1}(\alpha) = \cot^{-1}(2) + \cot^{-1}(8) + \cot^{-1}(18) + \cot^{-1}(32) + \ldots \text{ (upto 100 terms)},$ then $\alpha$ is :

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2021 (17 March Morning Shift) PYQ

Solution

Qus : 35 JEE MAIN PYQ

$\alpha = \sin 36^\circ $ is a root of which of the following equation?

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2022 (27 June Evening Shift) PYQ

Solution

Qus : 36 JEE MAIN PYQ

If the value of $\dfrac{5\cos36^{\circ}+5\sin18^{\circ}}{5\cos36^{\circ}-3\sin18^{\circ}}$ is $\dfrac{a\sqrt{5}-b}{c}$, where $a,b,c$ are natural numbers and $\gcd(a,c)=1$, then $a+b+c$ is equal to:

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2024 (8 April Evening Shift) PYQ

Solution

Qus : 37 JEE MAIN PYQ

Let $\lvert\cos\theta,\cos(60^\circ-\theta),\cos(60^\circ+\theta)\rvert\le \dfrac{1}{8},;\theta\in[0,2\pi]$. Then the sum of all $\theta\in[0,2\pi]$ where $\cos 3\theta$ attains its maximum value is:

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2024 (9 April Morning Shift) PYQ

Solution

Qus : 38 JEE MAIN PYQ

The sum of the solutions $x \in \mathbb{R}$ of the equation $\dfrac{3\cos 2x + \cos^3 2x}{\cos^6 x - \sin^6 x} = x^3 - x^2 + 6$ is:

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2025 (29 January Evening Shift) PYQ

Solution

Qus : 39 JEE MAIN PYQ

The value of $\cos^2 10^\circ - \cos 10^\circ \cos 50^\circ + \cos^2 50^\circ$ is

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2019 (9 April Morning Shift) PYQ

Solution

Qus : 40 JEE MAIN PYQ

If $\theta \in[-2 \pi, 2 \pi]$, then the number of solutions of $2 \sqrt{2} \cos ^2 \theta+(2-\sqrt{6}) \cos \theta-\sqrt{3}=0$, is equal to:

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2025 (2 April Morning Shift) PYQ

Solution

Qus : 41 JEE MAIN PYQ

Let $f(\theta)=3\big(\sin^{4}\!\left(\tfrac{3\pi}{2}-\theta\right)+\sin^{4}\!(3\pi+\theta)\big)-2\big(1-\sin^{2}2\theta\big)$ and $S=\left\{\theta\in[0,\pi]:\, f'(\theta)=-\dfrac{\sqrt{3}}{2}\right\}$. If $4\beta=\displaystyle\sum_{\theta\in S}\theta$, then $f(\beta)$ is equal to:

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2023 (29 January Morning Shift) PYQ

Solution

Qus : 42 JEE MAIN PYQ

If 15sin⁴$\alpha$ + 10cos⁴$\alpha$ = 6, for some $\alpha$$\in$R, then the value of 27sec⁶$\alpha$ + 8cosec⁶$\alpha$ is equal to :

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2021 (18 March Evening Shift) PYQ

Solution

Qus : 43 JEE MAIN PYQ

The value of $\sin 10^{\circ},\sin 30^{\circ},\sin 50^{\circ},\sin 70^{\circ}$ is:

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2019 (9 April Evening Shift) PYQ

Solution

Qus : 44 JEE MAIN PYQ

If 15sin⁴$\alpha$ + 10cos⁴$\alpha$ = 6, for some $\alpha$$\in$R, then the value of 27sec⁶$\alpha$ + 8cosec⁶$\alpha$ is equal to :

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2021 (18 March Evening Shift) PYQ

Solution

Qus : 45 JEE MAIN PYQ

cosec18$^\circ$ is a root of the equation :

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2021 (31 August Morning Shift) PYQ

Solution

Qus : 46 JEE MAIN PYQ

If $\theta \in \left[-\dfrac{7\pi}{6}, \dfrac{4\pi}{3}\right]$, then the number of solutions of $\sqrt{3}\csc^2\theta - 2(\sqrt{3} - 1)\csc\theta - 4 = 0$ is equal to:

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2025 (2 April Evening Shift) PYQ

Solution

Qus : 47 JEE MAIN PYQ

Let $A = \{\theta \in (-\frac{\pi}{2}, \pi) : \frac{3 + 2i \sin \theta}{1 - 2i \sin \theta} \text{ is purely imaginary}\}$. Then the sum of the elements in $A$ is:

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2019 (9 January Morning Shift) PYQ

Solution

Qus : 48 JEE MAIN PYQ

The set of all values of $\lambda$ for which the equation \[ \cos^{2}(2x)-2\sin^{4}x-2\cos^{2}x=\lambda \] has a real solution $x$, is:

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2023 (29 January Evening Shift) PYQ

Solution

Qus : 49 JEE MAIN PYQ

If $\tan A=\dfrac{1}{\sqrt{x^{2}+x+1}},\quad \tan B=\dfrac{\sqrt{x}}{\sqrt{x^{2}+x+1}}$ and $\tan C=\big(x^{-3}+x^{-2}+x^{-1}\big)^{1/2}$ with $0
1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2024 (1 February Morning Shift) PYQ

Solution

Qus : 50 JEE MAIN PYQ

$ \text { The number of solutions of the equation } 2 x+3 \tan x=\pi, x \in[-2 \pi, 2 \pi]-\left\{ \pm \frac{\pi}{2}, \pm \frac{3 \pi}{2}\right\} \text { is: } $

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2025 (3 April Morning Shift) PYQ

Solution

Qus : 51 JEE MAIN PYQ

If $\tan 15^\circ + \dfrac{1}{\tan 75^\circ} + \dfrac{1}{\tan 105^\circ} + \tan 195^\circ = 2a$, then the value of $(a+\dfrac{1}{a})$ is:

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2023 (30 January Morning Shift) PYQ

Solution

Qus : 52 JEE MAIN PYQ

The minimum value of 2^sinx + 2^cosx is :

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 4 September 2020 (Evening) PYQ

Solution

Qus : 53 JEE MAIN PYQ

Let $P = \{\theta : \sin\theta - \cos\theta = \sqrt{2}\cos\theta\}$ and $Q = \{\theta : \sin\theta + \cos\theta = \sqrt{2}\sin\theta\}$ be two sets. Then

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2016 (10 April Morning Shift) PYQ

Solution

Qus : 54 JEE MAIN PYQ

If $A>0,\ B>0$ and $A+B=\dfrac{\pi}{6}$, then the minimum value of $\tan A+\tan B$ is:

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2016 (10 April Morning Shift) PYQ

Solution

Qus : 55 JEE MAIN PYQ

The number of solutions of the equation $4\sin^{2}x-4\cos^{3}x+9-4\cos x=0,\; x\in[-2\pi,2\pi]$ is:

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2024 (1 February Evening Shift) PYQ

Solution

Qus : 56 JEE MAIN PYQ

The number of solutions of the equation $(4-\sqrt{3})\sin x-2\sqrt{3}\cos^2 x=-\dfrac{4}{1+\sqrt{3}},\ x\in[-2\pi,\tfrac{5\pi}{2}]$ is

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2025 (3 April Evening Shift) PYQ

Solution

Qus : 57 JEE MAIN PYQ

$2 \sin\!\left(\tfrac{\pi}{22}\right) \sin\!\left(\tfrac{3\pi}{22}\right) \sin\!\left(\tfrac{5\pi}{22}\right) \sin\!\left(\tfrac{7\pi}{22}\right) \sin\!\left(\tfrac{9\pi}{22}\right)$ is equal to :

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2022 (25 July Evening Shift) PYQ

Solution

Qus : 58 JEE MAIN PYQ

If $10\sin^4\theta+15\cos^4\theta=6$, then the value of $\dfrac{27\csc^6\theta+8\sec^6\theta}{16\sec^8\theta}$ is

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2025 (4 April Morning Shift) PYQ

Solution

Qus : 59 JEE MAIN PYQ

If L = sin²$\left( {{\pi \over {16}}} \right)$ - sin²$\left( {{\pi \over {8}}} \right)$ and M = cos²$\left( {{\pi \over {16}}} \right)$ - sin²$\left( {{\pi \over {8}}} \right)$, then :

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 5 September 2020 (Evening) PYQ

Solution

Qus : 60 JEE MAIN PYQ

If $\dfrac{\pi}{2}\le x\le \dfrac{3\pi}{4}$, then $\cos^{-1}\!\left(\dfrac{12}{13}\cos x+\dfrac{5}{13}\sin x\right)$ is equal to:

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2025 (23 January Morning Shift) PYQ

Solution

Qus : 61 JEE MAIN PYQ

The value of $\cot \dfrac{\pi}{24}$ is :

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2021 (25 July Evening Shift) PYQ

Solution

Qus : 62 JEE MAIN PYQ

The equation $y = \sin x \sin (x + 2) - \sin^2 (x + 1)$ represents a straight line lying in:

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2019 (12 April Morning Shift) PYQ

Solution

Qus : 63 JEE MAIN PYQ

The value of $(\sin 70^\circ)\,\big(\cot 10^\circ \cot 70^\circ - 1\big)$ is:

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2025 (23 January Morning Shift) PYQ

Solution

Qus : 64 JEE MAIN PYQ

The number of distinct real roots of $\left| {\matrix{ {\sin x} & {\cos x} & {\cos x} \cr {\cos x} & {\sin x} & {\cos x} \cr {\cos x} & {\cos x} & {\sin x} \cr } } \right| = 0$ in the interval $ - {\pi \over 4} \le x \le {\pi \over 4}$ is :

1
2
3
4
Go to Discussion

JEE MAIN JEE Mains PYQ JEE MAIN JEE Main 2021 (25 July Evening Shift) PYQ

Solution

JEE MAIN

Online Test Series,
Information About Examination,
Syllabus, Notification
and More.

Click Here to
View More

Feedback

Info.

Information

Aspire's Library

JEE MAIN Previous Year Questions (PYQs)

JEE MAIN Trigonometry PYQ

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

JEE MAIN

JEE MAIN

Info.

Confirm Delete

Edit