Question

cota + csca - 1 / cota - csca+ 1 prove that sina / 1 - cosa , 1st answer will get brainliest SO ANSWER THE QUESTION FAST AS POSSIBLE , PLS ​

Answer 1

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