is most commonly used. often though it's convenient to use trigonometric form, which is consequence of interpreting complex number (a,b) as a point on plane (so called 'complex plane') with coordinates a and b.

precisely, taking:

^{2}+b

^{2}) ; where sqrt is square root function.

and angle φ such as:

we get:

this is trigonometric form. real number |z| we call

*modulus*of complex number z, and φ it's

*argument*, φ = arg z.

if z ≠ 0 and we assume that φ belongs to [0, 2*Pi) then trigonometric form is unambiguously set. we can write then: φ = Arg z.

Source: [1].

See also: Complex Numbers Body.

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