Skills in Mathematics Trigonometry for JEE Main & Advanced>Chapter 2 - Trigonometric Equations and Inequations>Objective Questions>Q 3

HARD

JEE Main

IMPORTANT

Earn 100

Total number of roots of the equation $3^{\cos x} = |\sin x|$ , belonging to $[- 2 π, 2 π]$ are

50% studentsanswered this correctly

Important Questions on Trigonometric Equations and Inequations

HARD

JEE Main

IMPORTANT

Skills in Mathematics Trigonometry for JEE Main & Advanced>Chapter 2 - Trigonometric Equations and Inequations>Objective Questions>Q 4

The number of real solutions for

x, y

if

y = | \sin x |

and

y = \sin^{- 1} (\sin x)

where

x \in [- 2 π, 2 π]

, is

HARD

JEE Main

IMPORTANT

Skills in Mathematics Trigonometry for JEE Main & Advanced>Chapter 2 - Trigonometric Equations and Inequations>Objective Questions>Q 5

The number of solutions of the equation

| \sin θ | = | \cos 3 θ |

in

[- 2 π, 2 π]

is

MEDIUM

JEE Main

IMPORTANT

Skills in Mathematics Trigonometry for JEE Main & Advanced>Chapter 2 - Trigonometric Equations and Inequations>Objective Questions>Q 6

Total number of solutions of the equation

2 x = 3 π (1 - \cos x),

is :

MEDIUM

JEE Main

IMPORTANT

Skills in Mathematics Trigonometry for JEE Main & Advanced>Chapter 2 - Trigonometric Equations and Inequations>Objective Questions>Q 7

If the equation

1 + \sin^{2} x θ = \cos θ

has a non-zero solution in

θ,

then

x

must be:

MEDIUM

JEE Main

IMPORTANT

Skills in Mathematics Trigonometry for JEE Main & Advanced>Chapter 2 - Trigonometric Equations and Inequations>Objective Questions>Q 8

Total number of solutions of

[\sin x] + \cos x = 0

; where

[.]

denotes the greatest integer function, for

x \in [0, 2 π]

, is :

MEDIUM

JEE Main

IMPORTANT

Skills in Mathematics Trigonometry for JEE Main & Advanced>Chapter 2 - Trigonometric Equations and Inequations>Objective Questions>Q 9

Consider the equation

\sin 3 α = 4 \sin α . \sin (x + α) \sin (x - α), α \in (0, π)

and

x \in (0, 2 π),

then for

x

HARD

JEE Main

IMPORTANT

Skills in Mathematics Trigonometry for JEE Main & Advanced>Chapter 2 - Trigonometric Equations and Inequations>Objective Questions>Q 10

The number of points inside or on the circle

x^{2} + y^{2} = 4

satisfying

\tan^{4} x + \cot^{4} x + 1 = 3 \sin^{2} y,

is:

EASY

JEE Main

IMPORTANT

Skills in Mathematics Trigonometry for JEE Main & Advanced>Chapter 2 - Trigonometric Equations and Inequations>Objective Questions>Q 11

The most general solution of

\tan θ = - 1

and

\cos θ = \frac{1}{\sqrt{2}}

is