Range of $\cos 4x$ is

Important Questions on Trigonometric Functions

HARD

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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 $2\sin x=x+\frac{1}{x}$.

EASY

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IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 9 - Trigonometric Functions>EXERCISE 3.3>Q 16

If $\tan \theta =\frac{b}{a}$, then the value of $\cos 2\theta$ is

MEDIUM

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IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 9 - Trigonometric Functions>EXERCISE 3.3>Q 17

If $\sin A=\frac{3}{5}$ and $\cos B=\frac{9}{41},0<A<\frac{\pi }{2}$, and $-\frac{\pi }{2}<B<0$ then $\sin \left(A-B\right)$ is equal to

HARD

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IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 9 - Trigonometric Functions>EXERCISE 3.3>Q 18

The value of$\mathrm{ }\mathrm{s}\mathrm{i}\mathrm{n}36°\sin 72°\sin 108°\sin 144°$is equal to

MEDIUM

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IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 9 - Trigonometric Functions>EXERCISE 3.3>Q 19

$\tan 100°+\tan 125°+\tan 100°\tan 125°$ is equal to

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IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 9 - Trigonometric Functions>EXERCISE 3.3>Q 20

The value of $\frac{\tan 15°}{2-{\sec }^{2}15°}$ is equal to

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IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 9 - Trigonometric Functions>EXERCISE 3.3>Q 21

$\cot 70°+4\cos 70°$ is

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IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 9 - Trigonometric Functions>EXERCISE 3.3>Q 22

If $\sin \theta +\sin 2\theta +\sin 3\theta =\sin \alpha$ and $\cos \theta +\cos 2\theta +\cos 3\theta =\cos \alpha ,$ then $\theta$ is equal to