Question

Prove that :
(cotA+cosecA-1)/(cotA-cosecA+1)=(1+cosA)/sinA​

Answer 1

we use identity
csc square theta - cot square theta=1 follow the solution

Answer 2

Answer:

$\frac{cotA + cosecA - 1}{cotA - cosecA + 1} \\ \\ = \frac{(cotA + cosecA) - ( {cosec}^{2}A - {cot}^{2} A)}{cotA - cosecA + 1} \\ \\ = \frac{(cosecA + cotA)(1 - cosecA + cotA) }{cotA - cosecA + 1}$

$= cosecA + cotA \\ \\ = \frac{1 + cosA}{sinA}$