PRINT OUT FOR YOUR RECORDS
- Express \cos 6\theta in terms of \cos^n \theta
[3 marks]
- Express \cos^6 \theta in terms of \cos (n\theta)
[4 marks]
- Solve, giving your answers in the form re^{i\theta} with -\pi < \theta \leq \pi , z^6=1-\sqrt3 i
Represent your solutions on an Argand diagram
[4 marks]
- Represent on an Argand diagram the locus of z s.t.
- \arg{(z-3-2i)} = -\frac{5\pi}{6}
[3 marks]
- |z+1|=|z-2i| also give the cartesian equation
[3 marks]
- |z+1|=|4z-8i| also give the cartesian equation
[4 marks]
- Give the cartesian equation and sketch the locus \arg (\frac{z+3}{z-3}) = 3\pi /4
[6 marks]
- \arg{(z-3-2i)} = -\frac{5\pi}{6}