Question 2

Simplify: $$\sqrt{(1 - \sin^2 \theta) \div (1 - \cos^2 \theta)}$$

Solution

$$\sqrt{(1 - \sin^2 \theta) \div (1 - \cos^2 \theta)}$$

$$\sqrt{\ \frac{\cos^2\theta\ }{\sin^2\theta\ \ }}=\frac{\cos\theta\ }{\sin\theta\ }=\cot\theta\ $$


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