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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