EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 11 - Trigonometric Equations and Inequalities>JEE Main - 25 July 2021 Shift 1>Q 6

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JEE Main

IMPORTANT

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The sum of all values of $x$ in $[0, 2 π]$ , for which $\sin x + \sin 2 x + \sin 3 x + \sin 4 x = 0$ , is equal to :

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Important Questions on Trigonometric Equations and Inequalities

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 11 - Trigonometric Equations and Inequalities>JEE Main 17 March 2021 Shift 2>Q 7

The number of solutions of the equation $x + 2 \tan x = \frac{π}{2}$ in the interval $[0, 2 π]$ is

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 11 - Trigonometric Equations and Inequalities>JEE Main 18 March 2021 Shift 1>Q 8

The number of solutions of the equation

| \cot x | = \cot x + \frac{1}{\sin x}

in the interval

[0, 2 π]

is

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 11 - Trigonometric Equations and Inequalities>JEE Main - 25 Feb 2021 Shift 1>Q 9

All possible values of

θ \in [0, 2 π]

for which

\sin 2 θ + \tan 2 θ > 0

lie in :

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 11 - Trigonometric Equations and Inequalities>JEE Main - 25 Feb 2021 Shift 2>Q 10

If

0 < x, y < π

and

\cos x + \cos y - \cos (x + y) = \frac{3}{2}

, then

\sin x + \cos y

is equal to:

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 11 - Trigonometric Equations and Inequalities>JEE Main - 26 Feb 2021 Shift 1>Q 11

If

\sqrt{3} (\cos^{2} x) = (\sqrt{3} - 1) \cos x + 1

, then number of solutions of the given equation when

x \in [0, \frac{π}{2}]

is ________.

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 11 - Trigonometric Equations and Inequalities>JEE Main - 9th April 2019 Shift 1>Q 12

Let

S = \{θ \in [- 2 π, 2 π] : 2 \cos^{2} θ + 3 \sin θ = 0\} .

Then the sum of the elements of

S

is:

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 11 - Trigonometric Equations and Inequalities>JEE Main - 9th January 2019 Shift 2>Q 13

If

0 \leq x < \frac{π}{2},

then the number of values of

x

for which

\sin x - \sin 2 x + \sin 3 x = 0,

is:

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 11 - Trigonometric Equations and Inequalities>JEE Main - 10th April 2019 Shift 1>Q 14

All the pairs

(x, y)

, that satisfy the inequality

2^{\sqrt{{s i n}^{2} x - 2 s i n x + 5}} \cdot \frac{1}{4^{{s i n}^{2} y}} \leq 1

also satisfy the equation: