Draw the graph of $y=3\sin 2x$

Important Questions on Trigonometric Ratios, Functions and Identities

EASY

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 11 - Trigonometric Ratios, Functions and Identities>Exercise-1>Q 17

Draw the graph of $y=2\tan x$.

MEDIUM

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 11 - Trigonometric Ratios, Functions and Identities>Exercise-1>Q 19

Find the number of solutions of equation $\sin x=-4x+1$

MEDIUM

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 11 - Trigonometric Ratios, Functions and Identities>Exercise-1>Q 20

If $\tan \theta +\sec \theta =\frac{2}{3}$, then $\sec \theta$ is

EASY

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 11 - Trigonometric Ratios, Functions and Identities>Exercise-1>Q 21

$\sin 20°·\cos 40°+\cos 20°·\sin 40°=\frac{\sqrt{3}}{2}$

EASY

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 11 - Trigonometric Ratios, Functions and Identities>Exercise-1>Q 22

$\cos 100°·\cos 40°+\sin 100°·\sin 40°=\frac{1}{2}$

EASY

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 11 - Trigonometric Ratios, Functions and Identities>Exercise-1>Q 23

Show that $: \cos 2\theta \cos \frac{\theta }{2}-\cos 3\theta \cos \frac{9\theta }{2}=\sin 5\theta \sin \frac{5\theta }{2}$.

MEDIUM

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 11 - Trigonometric Ratios, Functions and Identities>Exercise-1>Q 24

If $A+B=45°$, prove that $\left(1+\tan A\right)\left(1+\tan B\right)=2$ and hence, deduce that $\tan \left(22\frac{1}{2}\right)°=\sqrt{2}-1$

MEDIUM

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 11 - Trigonometric Ratios, Functions and Identities>Exercise-1>Q 25

Eliminate $\theta$ from the relations a $\sec \theta =1-b\tan \theta , a^2{\sec }^2\theta =5+b^2{\tan }^2\theta$