CAPE Pure Mathematics Unit 1 · May/June 2001 · Paper 2 · Question 4(a)

This section covers Module 1.2. Answer both questions. The complex number, z, is expressed in the form x + iy, where x, y ∈ R. Express the complex number, (z-1)/(z+1), in a similar form. The argument of the complex number, (z-1)/(z+1), is π/4.

Express the complex number, (z-1)/(z+1), in a similar form.