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Consider, (cosX+isinX)⁶ using binomial expansion we find that this = "cos⁶X + 6icos⁵XsinX - 15cos⁴Xsin²X - 20icos³Xsin³X +...

In order to do this question, we need to find some way of eliminating the h(1/(1−x)), so that we are left with h(x), thus solving it. One way to do this, is to set up simultaneous equations. We may need t...

Proofs come in many shapes and sizes but this one is done via induction. When doing proof by induction, examiners love a list of a clear definite list of steps, the first being the base case, in t...