Question

prove cosA/1+TAN A - SINA /1+COT A = COS A - SIN A

Answer 1

Step-by-step explanation:

cos a / ( 1 + sin / cos) - sin / ( 1+ cos / sin)

cos / [( cos + sin )/ cos ] - sin / [ ( sin + cos ) / sin ]

[cos ^ 2 / ( sin + cos ) ] - [ sin ^2 / ( sin + cos )]

( cos ^2 - sin ^ 2 ) / cos + sin

( cos + sin ) ( cos - sin ) / ( cos + sin )

cos - sin