The [color=#ff0000][b]Polar Form[/b][/color] of a complex number is written in terms of its magnitude and angle. Thus, a polar form vector is presented as: [br] [size=100][b][color=#0000ff] z= r ∠±[/color][/b][math]\phi[/math][b][color=#0000ff], [/color][/b][/size][size=100]where: [b]z[/b] is the [b]complex [/b]number in polar form, [b]r[/b] is the [b]magnitude [/b]or [b]modulo [/b]of the vector and[b] [/b][math]\phi[/math][b] [/b]is its [b]angle [/b]or argument of r. T[br][br]In polar form the location of the point is represented in a “triangular form” as shown below.[/size]

We can use simple geometry of the triangle and especially trigonometry and Pythagoras’s Theorem on triangles to find both the magnitude and the angle of the complex number. As we remember from school, trigonometry deals with the relationship between the sides and the angles of triangles so we can describe the relationships between the sides as: