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

1/(5 + 4i) * (5 - 4i)/(5 - 4i) = (5 - 4i)/41

OG

Related Further Mathematics A Level answers

All answers ▸

Does the following matrix A = (2 2 // 3 9) (upper row then lower row) have an inverse? If the matrix A^2 is applied as a transformation to a triangle T, by what factor will the area of the triangle change under the transformation?


The curve C has polar equation 'r = 3a(1 + cos(x)). The tangent to C at point A is parallel to the initial line. Find the co-ordinates of A. 0<x<pi


Prove e^(ix) = cos (x) + isin(x)


Prove that 1+4+9+...+n^2 = n(n+1)(2n+1)/6.