Trigonometric Functions & Equations PYQs - Last 10 Years
JEE Advanced / Mathematics / Trigonometry / 15 recent questions
MathematicsTrigonometry2017-2026
Practice 15 JEE Advanced Mathematics questions from Trigonometric Functions & Equations. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.
15
PYQs on Page
Mathematics / Trigonometry
2017-2026
Year Range
Based on indexed question metadata
8
Last 5 Years
2022-2026
15
Last 10 Years
2017-2026
Recent Year Trend
2019
2022
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2026Latest year
20193 max PYQs/year2026
Question Types
15PYQs
MCQ40%
INTEGER33.3%
MCQM26.7%
Difficulty Mix
#1 Hard9
#2 Medium5
#3 Easy1
8 in last 5 years15 in last 10 years
Last 10 Years Trigonometric Functions & Equations Questions
Showing 15 of 15 filtered questions.
1Trigonometric Functions And Equations
Consider the curve $C_1$ given by
\(y=e^{-x} \quad \text { for } x \in[0,10 \pi],\)
and the curve $C_2$ given by
\(y=e^{-x}(\sin x+\cos x) \quad \text { for } x \in[0,10 \pi] .\)
Let $n$ be the total number of points of intersection of ...
\(y=e^{-x} \quad \text { for } x \in[0,10 \pi],\)
and the curve $C_2$ given by
\(y=e^{-x}(\sin x+\cos x) \quad \text { for } x \in[0,10 \pi] .\)
Let $n$ be the total number of points of intersection of ...
INTEGER+2 / -02026
2Trigonometric Functions And Equations
Match each entry in List-I to the correct entry in List-II and choose the correct option.
List-I
List-II
(P) The number of elements in the set
$$\left\{x \in [-\pi,\pi] : \sin^6 ...
List-I
List-II
(P) The number of elements in the set
$$\left\{x \in [-\pi,\pi] : \sin^6 ...
MCQ+4 / -12026
3Trigonometric Functions And Equations
Let
\(\alpha=\frac{1}{\sin 60^{\circ} \sin 61^{\circ}}+\frac{1}{\sin 62^{\circ} \sin 63^{\circ}}+\cdots+\frac{1}{\sin 118^{\circ} \sin 119^{\circ}}\)
Then the value of
\(\left(\frac{\operatorname{cosec} 1^{\circ}}{\alpha}\right)^2\)
is ...
\(\alpha=\frac{1}{\sin 60^{\circ} \sin 61^{\circ}}+\frac{1}{\sin 62^{\circ} \sin 63^{\circ}}+\cdots+\frac{1}{\sin 118^{\circ} \sin 119^{\circ}}\)
Then the value of
\(\left(\frac{\operatorname{cosec} 1^{\circ}}{\alpha}\right)^2\)
is ...
INTEGER+4 / -02025
4Trigonometric Functions And Equations
Let $\frac{\pi}{2} < x < \pi$ be such that $\cot x=\frac{-5}{\sqrt{11}}$. Then
\(\left(\sin \frac{11 x}{2}\right)(\sin 6 x-\cos 6 x)+\left(\cos \frac{11 x}{2}\right)(\sin 6 x+\cos 6 x)\)
is equal to :
\(\left(\sin \frac{11 x}{2}\right)(\sin 6 x-\cos 6 x)+\left(\cos \frac{11 x}{2}\right)(\sin 6 x+\cos 6 x)\)
is equal to :
MCQ+3 / -12024
5Trigonometric Functions And Equations
\(\text { Then the inradius of the triangle } A B C \text { is }\) :
INTEGER+3 / -02023
6Trigonometric Functions And Equations
Let $P Q R S$ be a quadrilateral in a plane, where $Q R=1, \angle P Q R=\angle Q R S=70^{\circ}, \angle P Q S=15^{\circ}$ and $\angle P R S=40^{\circ}$. If $\angle R P S=\theta^{\circ}, P Q=\alpha$ and $P S=\beta$, then the interval(s) that...
MCQM+4 / -22022
7Trigonometric Functions And Equations
Let $\alpha$ and $\beta$ be real numbers such that $-\frac{\pi}{4}<\beta<0<\alpha<\frac{\pi}{4}$. If $\sin (\alpha+\beta)=\frac{1}{3}$ and $\cos (\alpha-\beta)=\frac{2}{3}$, then the greatest integer less than or equal to
$$
\left(\frac{\s...
$$
\left(\frac{\s...
INTEGER+3 / -12022
8Trigonometric Functions And Equations
Consider the following lists :
.tg {border-collapse:collapse;border-spacing:0;}
.tg td{border-color:black;border-style:solid;border-width:1px;font-family:Arial, sans-serif;font-size:14px;
overflow:hidden;padding:10px 5px;word-break:norm...
.tg {border-collapse:collapse;border-spacing:0;}
.tg td{border-color:black;border-style:solid;border-width:1px;font-family:Arial, sans-serif;font-size:14px;
overflow:hidden;padding:10px 5px;word-break:norm...
MCQ+3 / -12022
9Trigonometric Functions And Equations
Let f(x) = sin(\(\pi\) cos x) and g(x) = cos(2\(\pi\) sin x) be two functions defined for x > 0. Define the following sets whose elements are written in the increasing order :X = {x : f(x) = 0}, Y = {x : f'(x) = 0}Z = {x : g(x) = 0}, W = ...
MCQ+3 / -12019
10Trigonometric Functions And Equations
Let f(x) = sin(\(\pi\) cos x) and g(x) = cos(2\(\pi\) sin x) be two functions defined for x > 0. Define the following sets whose elements are written in the increasing order:X = {x : f(x) = 0}, Y = {x : f'(x) = 0}Z = {x : g(x) = 0}, W = {...
MCQ+3 / -12019
11Trigonometric Functions And Equations
For non-negative integers n, let$$f(n) = {{\sum\limits_{k = 0}^n {\sin \left( {{{k + 1} \over {n + 2}}\pi } \right)} \sin \left( {{{k + 2} \over {n + 2}}\pi } \right)} \over {\sum\limits_{k = 0}^n {{{\sin }^2}\left( {{{k + 1} \over {n + 2}}...
MCQM+4 / -12019
12Trigonometric Functions And Equations
Let f : R \(\to\) R be a differentiable function with f(0) = 1 and satisfying the equation f(x + y) = f(x) f'(y) + f'(x) f(y) for all x, y\(\in\) R.Then, the value of loge(f(4)) is ...........
INTEGER+3 / -02018
13Trigonometric Functions And Equations
In a \(\Delta\)PQR = 30\(^\circ\) and the sides PQ and QR have lengths 10\(\sqrt 3\) and 10, respectively. Then, which of the following statement(s) is(are) TRUE?
MCQM+4 / -12018
14Trigonometric Functions And Equations
Let \(\alpha\) and \(\beta\) be non zero real numbers such that \(2(\cos \beta - \cos \alpha ) + \cos \alpha \cos \beta = 1\). Then which of the following is/are true?
MCQM+4 / -22017
15Trigonometric Functions And Equations
If the triangle PQR varies, then the minimum value of cos(P + Q) + cos(Q + R) + cos(R + P) is
MCQ+3 / -02017