Question 95

What is the value of √[(1 - sinA)/(1 + sinA)]?

Solution

Expression : $$\sqrt{[\frac{(1 - sinA)}{(1 + sinA)}}]$$

Multiplying both numerator and denominator by $$(\sqrt{1+sinA})$$

= $$\sqrt{[\frac{(1 - sinA)}{(1 + sinA)}}]$$ $$\times \sqrt{\frac{(1+sinA)}{(1+sinA)}}$$

= $$\sqrt{\frac{1-sin^2A}{(1+sinA)^2}} = \sqrt{\frac{cos^2A}{(1+sinA)^2}}$$

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

=> Ans - (C)

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