Question 58

(1 + sinA)/(1 - sinA) is equal to?

Solution

Expression : $$\frac{1 + sin A}{1 - sin A}$$

Replacing $$sin A$$ by $$\frac{1}{cosec A}$$

= $$\frac{1 + \frac{1}{cosec A}}{1 - \frac{1}{cosec A}}$$

= $$\frac{\frac{1 + cosec A}{cosec A}}{\frac{cosec A - 1}{cosec A}}$$

= $$\frac{cosec A + 1}{cosec A - 1}$$

=> Ans - (B)

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