Solution
Expression : cosecA + cotA = x
= $$\frac{1}{sinA} + \frac{cosA}{sinA} = \frac{1+cosA}{sinA}$$
Multiplying both numerator and denominator by $$(1-cosA)$$
= $$\frac{1+cosA}{sinA} \times \frac{1-cosA}{1-cosA}$$
= $$\frac{1-cos^2A}{sinA(1-cosA)} = \frac{sin^2A}{sinA(1-cosA)}$$
= $$\frac{sinA}{1-cosA}$$
Dividing both numerator and denominator by $$(sinA)$$
= $$\frac{1}{cosecA-cotA}$$
=> Ans - (A)
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