Question 52

If $$\cot \theta = \frac{1}{\sqrt3}$$, then the value of $$\frac{2 - \sin^2 \theta}{1 - \cos^2 \theta} + (\cosec^2 \theta + \sec \theta)$$ is:

Solution

cot60=$$\frac{1}{\sqrt{\ 3}}$$
so substituting $$\theta\ =60$$

Putting the value in the equation given in the question,

$$\frac{\left(2-\left(\frac{3}{4}\right)\right)}{1-\frac{1}{4}}\ +\ \frac{4}{3}+2$$

we get value of expression = 5

Option d is correct.

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