Maths and Computing:

Select a function to generate a formula in terms of powers of cos(x) and sin(x).
(Workings use de Moivre's Theorem)

Find an expression for cos(mx) in terms of powers of cos(x)

Select a function to generate a formula in terms of the sum of compound angles. (Workings use de Moivre's Theorem)

Find an expression for cosⁿ(x) in the form a + bcos(x) + ccos(2x) + dcos(3x) + ...

Select a series to find an expression for it. (Workings use Eulers identity for a complex number)

Find an expression for

n	C(n,r)cos(rx)
Σ
r = 0