Question 96

sinA/(1 + cos A) is equal to

Solution

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

Multiplying numerator and denominator by $$(1 - cos A)$$

= $$\frac{sin A}{1 + cos A} \times \frac{1 - cos A}{1 - cos A}$$

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

= $$\frac{1 - cos A}{sin A} = \frac{1}{sin A} - \frac{cos A}{sin A}$$

= $$cosec A - cot A$$

=> Ans - (A)

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