(B) Given that $\operatorname{cosec} \theta = \sqrt{2}$.We know that $\operatorname{cosec} 45^{\circ} = \sqrt{2}$,therefore $\theta = 45^{\circ}$.Now,

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(B) Given that $\operatorname{cosec} \theta = \sqrt{2}$.We know that $\operatorname{cosec} 45^{\circ} = \sqrt{2}$,therefore $\theta = 45^{\circ}$.Now,we need to find the value of $\tan \theta$.$\tan \theta = \tan 45^{\circ}$.Since $\tan 45^{\circ} = 1$,the value of $\tan \theta$ is $1$.

Class 10 Mathematics Introduction to Trigonometry Trigonometric Ratios of Some Specific Angles

Easy

If $\operatorname{cosec} \theta = \sqrt{2}$,then the value of $\tan \theta$ is:

A
$\sqrt{3}$
B
$1$
C
$\frac{1}{\sqrt{2}}$
D
$\frac{1}{\sqrt{3}}$

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Class 10 Questions

Class 10

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Chapter

Introduction to Trigonometry

Subtopic

Trigonometric Ratios of Some Specific Angles

In a right triangle,if the measure of one of the angles is $30^{\circ}$,then the side opposite to the angle with measure $30^{\circ}$ is .......... times the hypotenuse.

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In $\Delta ABC$,$\angle B$ is a right angle. If $AC = 20$ and $BC = 10$,then $m\angle ACB = \ldots$ (in $^{\circ}$)

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In right-angled $\Delta ABC$,$m\angle B = 90^\circ$. If $AC = 20$ and $m\angle C = 30^\circ$,then $BC = \ldots$

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State whether the following is true or false. Justify your answer.
The value of $\cos \theta$ increases as $\theta$ increases.

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$\frac{\sin 60^{\circ} + \cos 30^{\circ}}{1 + \sin 30^{\circ} + \cos 60^{\circ}} = \dots$

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If $\operatorname{cosec} \theta = \sqrt{2}$,then the value of $\tan \theta$ is:

Similar Questions

In a right triangle,if the measure of one of the angles is $30^{\circ}$,then the side opposite to the angle with measure $30^{\circ}$ is .......... times the hypotenuse.

In $\Delta ABC$,$\angle B$ is a right angle. If $AC = 20$ and $BC = 10$,then $m\angle ACB = \ldots$ (in $^{\circ}$)

In right-angled $\Delta ABC$,$m\angle B = 90^\circ$. If $AC = 20$ and $m\angle C = 30^\circ$,then $BC = \ldots$

State whether the following is true or false. Justify your answer.The value of $\cos \theta$ increases as $\theta$ increases.

$\frac{\sin 60^{\circ} + \cos 30^{\circ}}{1 + \sin 30^{\circ} + \cos 60^{\circ}} = \dots$

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State whether the following is true or false. Justify your answer.
The value of $\cos \theta$ increases as $\theta$ increases.