Question 53

If $$\frac{1}{\sqrt{(Cosec^{2}A-1)}}=x$$, then value of x is

Solution

Expression : $$\frac{1}{\sqrt{(Cosec^{2}A-1)}}=x$$

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

= $$\frac{1}{\sqrt{cot^2 A}}$$

= $$\frac{1}{cot A} = tan A$$

=> Ans - (B)

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