What is a complex number?

A complex number is a number that consists of two parts, a real part, like any number you have been dealing with since you started learning maths, and an imaginary number, often tagged along with a i or a j, for example a+bi. The best way to imagine it is as a vector on a plane, the point not unlike one on a x,y axes but instead on a real, imaginary axes. 

PB

Related Further Mathematics A Level answers

All answers ▸

Explain the process of using de Moivre's Theorem to find a trigonometric identity. For example, express tan(3x) in terms of sin(x) and cos(x).


prove by induction that, f(n) = 2^(3n+1) + 3(5^(2n+1)) is divisible by 17 for all n>0.


Why does e^ix = cos(x) + isin(x)


How do you prove by induction?