Question 81

$$\sqrt{[\frac{(1 - sinA)}{(1 + sinA)}}]$$ is equal to?

Solution

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

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

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

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

= $$\frac{1-sinA}{cosA} = (\frac{1}{cosA})-(\frac{sinA}{cosA})$$

= $$secA-tanA$$

=> Ans - (A)

Share on Whatsapp Share on Whatsapp

Create a FREE account and get: