(iii) Find the most general function that, for all x and y, satisfies the identity
t(x) + t(y) = t(z)
where z = (x+y)/(1-xy)
I can't think of how to do this. I can see some relation to the t=tan((1/2)A) substitution where sin(A) = (2t)/(1-t^2) but don't know how to use it in this context.

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Nevermind I understand it now, you have no idea how much this is going to help me James haha.

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