AHL 1.13 (HL)—Polar and Euler forms Topic Practice
AHL 1.13 (HL)—Polar and Euler forms Topic Practice
Practise writing complex numbers in polar and Euler form, using modulus and argument to evaluate roots, powers and real or imaginary parts.
How this is tested
- convert a+bi to re^(iθ), choosing θ in the required interval before operations
- use Euler form to find Re(z), Re(1/z) or Im(e^(2ti)(e^i+e^(3i))) from modulus and argument
- apply De Moivre's theorem to square or cube roots, adding π or 2π/n to list all required roots