Question 62

If cosA/(1 - sinA) = x, then the value of x is

Solution

Expression : cosA/(1 - sinA) = x

Multiplying both numerator and denominator by $$(1+sinA)$$

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

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

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

= $$secA+tanA$$

=> Ans - (C)

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