Exercises — Complex numbers

All the worked exercises of the chapter, in order of appearance in the book: parametrisation of curves in the plane, generalised Vieta’s relations and Newton’s identities, and finally computation with complex numbers in Cartesian, trigonometric and exponential form (product, division, De Moivre, $n$-th roots, equations in $\mathbb{C}$).

• Parametrising a circle
• Parametrising a line segment
• Curve of a particle
• A branch of a hyperbola
• Sum and product of the roots
• Sum of the squares of the roots
• Centroid of the roots
• Product of two complex numbers
• Division by rationalising
• Trigonometric and exponential form
• Power with De Moivre
• Fourth roots of -16
• Quadratic equation in C