Hey guys need some help here. The trig identities are killing me so far this semester. i have to use the quotient rule. Here is the problem and where i have gotten to.
y= sinx+cosx/cosx
y'= f'g-fg'/g^2
= {[(cosx-sinx)(cosx)]-[(sinx+cosx)(-sinx)]}/cos^2x
= (cos^2x-sinxcosx)-(-sin^2x-sinxcosx)/cos^2x
=(cos^2x-sinxcosx+sin^2x+sinxcosx/cos^2x
=cos^2x+sin^2x/cos^2x
= (cos^2x/cosx)+(sin^2x/cosx)
= am i even close. thanks for the help