(C) Given that $\operatorname{cosec} \theta = \frac{2}{\sqrt{3}}$.Since $\operatorname{cosec} \theta = \frac{1}{\sin \theta}$,we have $\sin \theta = \

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(C) Given that $\operatorname{cosec} \theta = \frac{2}{\sqrt{3}}$.Since $\operatorname{cosec} \theta = \frac{1}{\sin \theta}$,we have $\sin \theta = \frac{1}{\operatorname{cosec} \theta} = \frac{\sqrt{3}}{2}$.We know from trigonometric standard values that $\sin 60^\circ = \frac{\sqrt{3}}{2}$.Comparing both sides,we get $\theta = 60^\circ$.

Class 10 Mathematics Introduction to Trigonometry Mix Examples - Introduction to Trigonometry

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If $\operatorname{cosec} \theta = \frac{2}{\sqrt{3}}$,then $\theta = \ldots$ (in $^\circ$)

A
$30$
B
$45$
C
$60$
D
$90$

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Introduction to Trigonometry

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Mix Examples - Introduction to Trigonometry

If $a \sin \theta = 3$ and $a \cos \theta = 4$,then $a = \dots$ (where $a > 0$).

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$0 < \theta < 90$ and $\sec \theta = \operatorname{cosec} 60^\circ$,then the value of $2 \cos^2 \theta - 1$ is ........

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Simplify $(1+\tan ^{2} \theta)(1-\sin \theta)(1+\sin \theta)$

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The value of $(\tan 1^{\circ} \tan 2^{\circ} \tan 3^{\circ} \ldots \tan 89^{\circ})$ is

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If $\operatorname{cosec} \theta = \frac{2}{\sqrt{3}}$,then $\theta = \ldots$ (in $^\circ$)

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If $a \sin \theta = 3$ and $a \cos \theta = 4$,then $a = \dots$ (where $a > 0$).

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