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Trigonometric form

In trigonometric form you write a complex number as

z = r (cos φ + i sin φ)

 


Explanation

The point (a, b) is the affix of the complex number z = a + bi. So it applies

a = r · cos α
b = r · sin α

where r is the modulus of z and α is the argument. It follows that

Sometimes the notation cis α is used for cos α + i sin α.

 


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