Trigonometric Functions & Equations PYQs - Last 5 Years
JEE Advanced / Mathematics / Trigonometry / 8 recent questions
MathematicsTrigonometry2022-2026
Practice 8 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.
8
PYQs on Page
Mathematics / Trigonometry
2022-2026
Year Range
Based on indexed question metadata
8
Last 5 Years
2022-2026
8
Last 10 Years
2017-2026
Recent Year Trend
2022
2023
2024
2025
2026Latest year
20223 max PYQs/year2026
Question Types
8PYQs
INTEGER50%
MCQ37.5%
MCQM12.5%
Difficulty Mix
#1 Hard6
#2 Easy1
#3 Medium1
8 in last 5 years8 in last 10 years
Last 5 Years Trigonometric Functions & Equations Questions
Showing 8 of 8 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