Alpha Question Bank for Engineering: Mathematics>Chapter 12 - Trigonometric Equations and Inequalities>Exercise-2>Q 33

MEDIUM

JEE Main/Advance

IMPORTANT

Earn 100

Find the values of $x$ satisfying the equation $2 \sin x = 3 x^{2} + 2 x + 3 .$

Important Questions on Trigonometric Equations and Inequalities

MEDIUM

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 12 - Trigonometric Equations and Inequalities>Exercise-2>Q 34

Find the number of solution of

a > 0, D < 0

in

[0, 2 π] .

HARD

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 12 - Trigonometric Equations and Inequalities>Exercise-2>Q 35

If

2 \sec^{2} α - \sec^{4} α - 2 {cosec}^{2} \dot{α} + {cosec}^{4} α = 15 / 4,

then

\tan α

is equal to

MEDIUM

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 12 - Trigonometric Equations and Inequalities>Exercise-2>Q 36

If

\tan A + \tan B + \tan C = \tan A \cdot \tan B \cdot \tan C,

then

HARD

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 12 - Trigonometric Equations and Inequalities>Exercise-2>Q 37

$\sin x, \sin 2 x, \sin 3 x$ are in A.P. if

MEDIUM

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 12 - Trigonometric Equations and Inequalities>Exercise-2>Q 38

\sin x - \cos^{2} x - 1

assumes the least value for the set of values of

x

given by

HARD

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 12 - Trigonometric Equations and Inequalities>Exercise-2>Q 39

The general solution of the equation

\cos x \cdot \cos 6 x = - 1

is

HARD

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 12 - Trigonometric Equations and Inequalities>Exercise-2>Q 40

Which of the following set of values of

x

satisfies the inequation

\sin 3 x < \sin x

?

HARD

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 12 - Trigonometric Equations and Inequalities>Exercise-2>Q 41

The equation $2 \sin \frac{x}{2} \cdot \cos^{2} x + \sin^{2} x = 2 \sin \frac{x}{2} \cdot \sin^{2} x + \cos^{2} x$ has a root for which