Question

(sec A + tan A) (1-sin A) = cos A​

Answer 1

Answer:

$( \frac{1}{ \cos(a) } + \frac{ \sin(a) }{ \cos(a) } )(1 - \sin(a) \\ = ( \frac{1 + sina}{ \cos(a) } )(1 - \sin(a)) \\ = \frac{1 - \sin^{2} a}{ \cos(a) } \\ = \frac{ {cos}^{2} a}{cosa} \\ = cosa \\ hence \: proved$