Calculus
posted by kelly .
complete the identity sinq / cosq + cosq / sinq =
I'm not sure I'm coming up with
1 + cot q

Use the Quotient Identities. (The "q" hints at that, too.) The Quotient Identities are the rules for tangent and cotangent.

yes that's what I did I just wasn't sure if I came up with the correct answer ?

The Quotient Identities are:
tanx = sinx / cosx
cotx = cosx / sinx
All you have to do is substitute those into your equation.