Finding modulus and argument of complex number (x+iy)

Draw argand diagram

Modulus=|z|= length of the line

So |z|=(x2+y2)0.5

Argument=Angle between real (x axis) and line

so arg(z)=arctan(y/x)

EF

Related Further Mathematics A Level answers

All answers ▸

If the complex number z = 5 + 4i, work out 1/z.


How would go about finding the set of values of x for which x+4 > 4 / (x+1)?


Find the Cartesian equation of a plane containing the points A(1, 7, -2) B(4, -3, 2) and C(7, 8, 9).


Using the definitions of hyperbolic functions in terms of exponentials show that sech^2(x) = 1-tanh^2(x)