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. 

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Related Further Mathematics A Level answers

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It is given that f(x) = 2sinhx+3coshx. Show that the curve y = f(x) has a stationary point at x =-½ ln(5) and find the value of y at this point. Solve the equation f(x) = 5, giving your answers exactly


Prove that "6^n + 9" is divisible by 5 for all natural numbers.


Can you express 3 + 4j in polar form?


Use de Moivre's theorem to calculate an expression for sin(5x) in terms of sin(x) only.