Question

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

Answer 1

`*(cos(x+y))/(cos\ x\ sin\ y) =cot\ y-tan\ x\\\\ (cos \ x \ cos \ y \ - \ sen \ x \ sen \ y)/(cos \ x \ sin \ y) \\\\ (cos \ x \ cos \ y)/(cos \ x \ sin \ y) - (sen \ x \ sen \ y)/(cos \ x \ sin \ y) \\\\ Simplify \\\\ (cos \ y)/(sin \ y) - (sen \ x)/(cos \ x) \\\\ cot \ y -tan \ x= cot \ y -tan \ x`

Answer 2

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