Alpha Question Bank for Engineering: Mathematics>Chapter 12 - Trigonometric Equations and Inequalities>Exercise-1>Q 2

EASY

JEE Main/Advance

IMPORTANT

Earn 100

Find the general solution of the trigonometric equation: $\sin 9 θ = \sin θ$

Important Questions on Trigonometric Equations and Inequalities

HARD

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 12 - Trigonometric Equations and Inequalities>Exercise-1>Q 3

Find the general solution of the trigonometric equation :

\cot θ - \tan θ = 2

MEDIUM

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 12 - Trigonometric Equations and Inequalities>Exercise-1>Q 4

Find the general solution of the trigonometric equation:

cosec θ = \cot θ + \sqrt{3}

EASY

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 12 - Trigonometric Equations and Inequalities>Exercise-1>Q 5

Find the general solution of the trigonometric equation :

\tan θ + \tan 2 θ + \sqrt{3} \tan θ \tan 2 θ = \sqrt{3}

HARD

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 12 - Trigonometric Equations and Inequalities>Exercise-1>Q 6

Solve the inequality :

\sin 3 x < \sin x

HARD

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 12 - Trigonometric Equations and Inequalities>Exercise-1>Q 7

Solve the inequality:

\tan^{2} x - (1 + \sqrt{3}) \tan x + \sqrt{3} < 0

MEDIUM

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 12 - Trigonometric Equations and Inequalities>Exercise-1>Q 8

The least positive value of

x

satisfying

\frac{\sin^{2} 2 x + 4 \sin^{4} x - 4 \sin^{2} x \cos^{2} x}{4 - \sin^{2} 2 x - 4 \sin^{2} x} = \frac{1}{9}

is

MEDIUM

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 12 - Trigonometric Equations and Inequalities>Exercise-1>Q 9

If

x \in [0, \frac{π}{2}]

, then the number of solutions of the equation

\sin 7 x + \sin 4 x + \sin x = 0

is

MEDIUM

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 12 - Trigonometric Equations and Inequalities>Exercise-1>Q 10

All solutions of the equation

2 \sin θ + \tan θ = 0

obtained by taking all the integral values of

m

and

n

are