Question

Prove: cos(x+y)/cosxsiny=coty-tanx

Answer 1

The answer is popcorn because math pops when yew do it.

Answer 2

$*\frac{cos(x+y)}{cos\ x\ sin\ y} =cot\ y-tan\ x\\\\ \frac{cos \ x \ cos \ y \ - \ sen \ x \ sen \ y}{cos \ x \ sin \ y} \\\\ \frac{cos \ x \ cos \ y}{cos \ x \ sin \ y} - \frac{sen \ x \ sen \ y}{cos \ x \ sin \ y} \\\\ Simplify \\\\ \frac{cos \ y}{sin \ y} - \frac{sen \ x}{cos \ x} \\\\ cot \ y -tan \ x= cot \ y -tan \ x$