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प्रश्न
Prove that:
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उत्तर
\[\cot\theta + \tan\theta\]
\[ = \frac{\cos\theta}{\sin\theta} + \frac{\sin\theta}{\cos\theta}\]
\[ = \frac{\sin^2 \theta + \cos^2 \theta}{\sin\theta\cos\theta}\]
\[ = \frac{1}{\sin\theta\cos\theta} \left( \sin^2 \theta + \cos^2 \theta = 1 \right)\]
\[ = \frac{1}{\sin\theta} \times \frac{1}{\cos\theta}\]
\[ = \text{ cosec } \theta\sec\theta\]
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