Write 'True' or 'False' and justify your answer. frac{tan 47^{circ}}{cot 43^{circ}}=

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8. Introduction to Trigonometry

easy

Write 'True' or 'False' and justify your answer.

$\frac{\tan 47^{\circ}}{\cot 43^{\circ}}=1$

Option A

Option B

Option C

Option D

Solution

True

$\frac{\tan 47^{\circ}}{\cot 43^{\circ}}=\frac{\tan \left(90^{\circ}-43^{\circ}\right)}{\cot 43^{\circ}}=\frac{\cot 43^{\circ}}{\cot 43^{\circ}}=1 \quad\left[\because \tan \left(90^{\circ}-\theta\right)=\cot \theta\right]$

Standard 10

Mathematics

$2 \sin ^{2} \theta+4 \sec ^{2} \theta+5 \cot ^{2} \theta+2 \cos ^{2} \theta-4 \tan ^{2} \theta-5 \operatorname{cosec}^{2} \theta=\ldots \ldots \ldots$

medium

If $\tan 7 \theta \cdot \tan 3 \theta=1,$ then the value of $\theta$ is ……….

medium

$\frac{\sec \theta-1}{\sec \theta+1}=\ldots \ldots \ldots \ldots$

easy

Write 'True' or 'False' and justify your answer.

The value of the expression $\left(\sin 80^{\circ}-\cos 80^{\circ}\right)$ is negative.

easy

If $0 < \theta < 90$ and $\sin \theta=\cos 30,$ then $2 \tan ^{2} \theta-1=\ldots \ldots \ldots \ldots .$

medium

Write 'True' or 'False' and justify your answer. $\frac{\tan 47^{\circ}}{\cot 43^{\circ}}=1$

Solution

Similar Questions

$2 \sin ^{2} \theta+4 \sec ^{2} \theta+5 \cot ^{2} \theta+2 \cos ^{2} \theta-4 \tan ^{2} \theta-5 \operatorname{cosec}^{2} \theta=\ldots \ldots \ldots$

If $\tan 7 \theta \cdot \tan 3 \theta=1,$ then the value of $\theta$ is ……….

$\frac{\sec \theta-1}{\sec \theta+1}=\ldots \ldots \ldots \ldots$

Write 'True' or 'False' and justify your answer. The value of the expression $\left(\sin 80^{\circ}-\cos 80^{\circ}\right)$ is negative.

If $0 < \theta < 90$ and $\sin \theta=\cos 30,$ then $2 \tan ^{2} \theta-1=\ldots \ldots \ldots \ldots .$

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Write 'True' or 'False' and justify your answer.

$\frac{\tan 47^{\circ}}{\cot 43^{\circ}}=1$

Write 'True' or 'False' and justify your answer.

The value of the expression $\left(\sin 80^{\circ}-\cos 80^{\circ}\right)$ is negative.