Question 602427
Prove that the following equations are identities 
(cotY + cosY)/(secY - cosY) = (cscY + 1)/(tan^2 Y) 
**
Start with left side:

(cot+cos)/(sec-cos)
=[(cos/sin)+cos]/(1/cos)-cos)
=[(cos+cos*sin)/sin]/[(1-cos^2)/cos]
=[cos(1+sin)cos]/(sin(1-cos^2)
=cos^2(1+sin)/sin*sin^2
=(cos^2/sin^2)(1+sin)/sin
=(cot^2)/sin^2*[(1/sin)+(sin/sin)]
=(tan^2)(csc+1)
Verified: left side = right side