16.Prove that CotA +cosecA-1/cot A-cosec A+1=1+cosA/1+sinA

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

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

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

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

(1 + c o t A + t a n A) (s i n A - c o s A)

\frac{s e c A}{c o s e c^{2} A} - \frac{c o s e c A}{s e c^{2} A}

s i n A t a n A - c o t A c o s A

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