Trigonometric Functions & Equations
WB JEE / Mathematics / Trigonometry / 72 questions
MathematicsTrigonometry72 PYQs
Practice 72 WB JEE 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.
72
PYQs on Page
Mathematics / Trigonometry
2008-2026
Year Range
Based on indexed question metadata
12
Last 5 Years
2022-2026
20
Last 10 Years
2017-2026
Recent Year Trend
2021
2022
2023
2024
2025
2026Latest year
20215 max PYQs/year2026
Question Types
72PYQs
MCQ87.5%
MCQM6.9%
SUBJECTIVE5.6%
Difficulty Mix
#1 Unknown72
12 in last 5 years20 in last 10 years
Trigonometric Functions & Equations Questions
Showing 22 of 72 questions on this page.
1Trigonometric Functions And Equations
Prov that the equation \(\cos 2x + a\sin x = 2a - 7\) possesses a solution if 2 \(\le\) a \(\le\) 6.
SUBJECTIVE+2 / -02010
2Trigonometric Functions And Equations
If \(\sin 6\theta + \sin 4\theta + \sin 2\theta = 0\), then the general value of \(\theta\) is
MCQ+1 / -0.252010
3Trigonometric Functions And Equations
The value of \({{\cot 54^\circ } \over {\tan 36^\circ }} + {{\tan 20^\circ } \over {\cot 70^\circ }}\) is
MCQ+1 / -0.252010
4Trigonometric Functions And Equations
The number of points of intersection of 2y = 1 and y = sinx, in \(-\)2\(\pi\) \(\le\) x \(\le\) 2\(\pi\) is
MCQ+1 / -0.252010
5Trigonometric Functions And Equations
The value of \({{\cot x - \tan x} \over {\cot 2x}}\) is
MCQ+1 / -0.252010
6Trigonometric Functions And Equations
The value of \({{\sin 55^\circ - \cos 55^\circ } \over {\sin 10^\circ }}\) is
MCQ+1 / -0.252010
7Trigonometric Functions And Equations
Show that \({{\sin \theta } \over {\cos 3\theta }} + {{\sin 3\theta } \over {\cos 9\theta }} + {{\sin 9\theta } \over {\cos 27\theta }} = {1 \over 2}(\tan 27\theta - \tan \theta )\)
SUBJECTIVE+2 / -02009
8Trigonometric Functions And Equations
If \(5\cos 2\theta + 2{\cos ^2}\theta /2 + 1 = 0\), when \((0 < \theta < \pi )\), then the values of \(\theta\) are
MCQ+1 / -0.252009
9Trigonometric Functions And Equations
Simplest form of \({2 \over {\sqrt {2 + \sqrt {2 + \sqrt {2 + 2\cos 4x} } } }}\) is
MCQ+1 / -0.252009
10Trigonometric Functions And Equations
In triangle ABC, a = 2, b = 3 and sin A = 2/3, thne B is equal to
MCQ+1 / -0.252009
11Trigonometric Functions And Equations
The smallest value of \(5\cos \theta + 12\) is
MCQ+1 / -0.252009
12Trigonometric Functions And Equations
A positive acute angle is divided into two parts whose tangents are 1/2 and 1/3. Then the angle is
MCQ+1 / -0.252009
13Trigonometric Functions And Equations
\(P = {1 \over 2}{\sin ^2}\theta + {1 \over 3}{\cos ^2}\theta\), then
MCQ+1 / -0.252009
14Trigonometric Functions And Equations
The value of \(\left( {1 + \cos {\pi \over 6}} \right)\left( {1 + \cos {\pi \over 3}} \right)\left( {1 + \cos {{2\pi } \over 3}} \right)\left( {1 + \cos {{7\pi } \over 6}} \right)\) is
MCQ+1 / -0.252009
15Trigonometric Functions And Equations
General solution of \(\sin x + \cos x = \mathop {\min }\limits_{a \in IR} \{ 1,{a^2} - 4a + 6\}\) is
MCQ+1 / -0.252009
16Trigonometric Functions And Equations
The value of \(\cos 15^\circ \cos 7{1 \over 2}^\circ \sin 7{1 \over 2}^\circ\) is
MCQ+1 / -0.252009
17Trigonometric Functions And Equations
The equation \(\sqrt 3 \sin x + \cos x = 4\) has
MCQ+1 / -0.252009
18Trigonometric Functions And Equations
Find the general solution of \(\sec \theta + 1 = (2 + \sqrt 3 )\tan \theta\).
SUBJECTIVE+2 / -02008
19Trigonometric Functions And Equations
The value of \(\cos {\pi \over {15}}\cos {{2\pi } \over {15}}\cos {{4\pi } \over {15}}\cos {{8\pi } \over {15}}\) is
MCQ+1 / -0.252008
20Trigonometric Functions And Equations
The principal value of \({\sin ^{ - 1}}\tan \left( { - {{5\pi } \over 4}} \right)\) is
MCQ+1 / -0.252008
21Trigonometric Functions And Equations
If \(\tan \left( {{{\alpha \pi } \over 4}} \right) = \cot \left( {{{\beta \pi } \over 4}} \right)\) then
MCQ+1 / -0.252008
22Trigonometric Functions And Equations
The equation \(\sqrt 3 \sin x + \cos x = 4\) has
MCQ+1 / -0.252008
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