Question 92

What is the value of $$\frac{cosecA}{\sqrt{(cosec^2A-1)}}$$ ?

Solution

Expression : $$\frac{cosecA}{\sqrt{(cosec^2A-1)}}$$

Using, $$(cosec^2A-cot^2A=1)$$

= $$\frac{cosecA}{\sqrt{cot^2A}} = \frac{cosecA}{cotA}$$

= $$\frac{1}{sinA} \div \frac{cosA}{sinA}$$

= $$\frac{1}{sinA} \times \frac{sinA}{cosA}$$

= $$\frac{1}{cosA}=secA$$

=> Ans - (B)

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