42. sin A / (cot A + cosec A) = 2 + sin A / (cot A - cosec A)

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\frac{sin A}{(cot A + c o s e c A)} = 2 + \frac{sin A}{(cot A - c o s e c A)}

(c o s e c A + s i n A) (c o s e c A - s i n A) = c o t^{2} A + c o s^{2} A

\frac{c o s A - s i n A + 1}{c o s A + s i n - 1} = c o s e c A + c o t A,

c o s e c^{2} A = 1 + c o t^{2} A

Prove that sinA/(cotA+cosecA)=2+sinA/(cotA-cosecA)

\frac{1}{\cos e c A - c o t A} - \frac{1}{\sin A} = \frac{1}{S i n A} - \frac{1}{\cos e c A + c o t A}

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