Question

prove that: (cosA-sinA+1)/(cosA+sinA-1)=1+cosA/sinA​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

$\frac{cosa - sina + 1}{cosa + sina - 1} \\ \\ deviding \: sina \: in \: each \: term \: we \: \: get \\ \\ = \frac{cota + coseca - 1}{cota - coseca + 1} \\ \\ = \frac{(coseca + cota) - ( {cosec}^{2}a - {cot}^{2} a) }{cota - coseca + 1}$

$= \frac{(coseca + cota)(1 - coseca + cota)}{cota - coseca + 1} \\ \\ = coseca + cota \\ \\ = \frac{1 + cosa}{sina}$