Question 602443
(tanY + sec^2 Y - tan^2Y)/secY = sinY + cosY 


(tanY + 1)/secY = sinY + cosY 


tanY/secY + 1/secY = sinY + cosY 


(sinY/cosy)/(1/cosY) + 1/(1/cosY) = sinY + cosY 


(sinY/cosy)*(cosY/1) + cosY = sinY + cosY 


(sinYcosY)/cosY + cosY = sinY + cosY 


sinY + cosY = sinY + cosY 


So this verifies the identity.