Your given conditions are wide open. I see several distinct ways to interpret them. I would not bother with it until these questions are cleared up.

Are 17 and 34 the measures of the two legs, or is that one leg and the hypotenuse?

You want functions of θ, but you offer no definition for θ. Is that one of the acute angles? Which?

Let a = 17, b = 34 then the hypotenuse is:

c = √ (17^2 + 34^2) ≈ 38

let a be the opposite side of θ:

sin(θ) = 17/38

cos(θ) = 34/38 = 17/19

tan(θ) = 17/34 = 1/2

cot(θ) = 2

scs(θ) = 38/17

sec(θ) = 19/17