Which of the following is positive number?

Important Questions on Trigonometric Functions

EASY

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 9 - Trigonometric Functions>EXERCISE 3.1>Q 8

$\cos 45°·\cos 46°·\cos 47°....\cos 135°=$

MEDIUM

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IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 9 - Trigonometric Functions>EXERCISE 3.1>Q 9

Find $\sin \theta +\sin \left(\pi +\theta \right)+\sin \left(2\pi +\theta \right)+\sin \left(3\pi +\theta \right)+....$ upto $2021$ term.

MEDIUM

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 9 - Trigonometric Functions>EXERCISE 3.1>Q 10

Find $\cos \left(\frac{\pi }{2}+\theta \right)+\cos \left(\frac{3\pi }{2}+\theta \right)+\cos \left(\frac{5\pi }{2}+\theta \right)+\cos \left(\frac{7\pi }{2}+\theta \right).....$ upto $2021$ terms.

MEDIUM

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 9 - Trigonometric Functions>EXERCISE 3.1>Q 11

Find value of $\sec \left(1140°\right)+cosec\left(1140°\right)+\sin \left(1140°\right)+\tan \left(1140°\right)+\cot \left(1140°\right)+\cos \left(1140°\right)$.

EASY

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 9 - Trigonometric Functions>EXERCISE 3.2>Q 12

The maximum value of $\sin x_1+2\sin x_2+3\sin x_3$ is

EASY

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 9 - Trigonometric Functions>EXERCISE 3.2>Q 13

Domain of $\sin 8x$ is

EASY

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 9 - Trigonometric Functions>EXERCISE 3.2>Q 14

Range of $\cos 4x$ is

HARD

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 9 - Trigonometric Functions>EXERCISE 3.2>Q 15

Find the number of real values of $x$ satisfying the equation $2\sin x=x+\frac{1}{x}$.