8. Introduction to Trigonometry
medium

$\tan \theta+\cot \theta=\ldots \ldots \ldots$

A

$2$

B

$\sin \theta$

C

$\cos \theta$

D

$\operatorname{cosec} \theta \cdot \sec \theta$

Solution

$\tan \theta+\cot \theta=\frac{\sin \theta}{\cos \theta}+\frac{\cos \theta}{\sin \theta}=\frac{\sin ^{2} \theta+\cos ^{2} \theta}{\sin \theta \cos \theta}=\frac{1}{\sin \theta \cos \theta}=\operatorname{cosec} \theta \cdot \sec \theta$

Standard 10
Mathematics

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