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Polar form of complex numbers

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Examples
Lessons
  1. Convert the following complex numbers from rectangular form to polar form
    1. z=2i−3 z=2i-3
    2. w=−5−3iw=-5-3i
    3. z=4−i z=4-i
  2. Convert the following complex numbers from polar form to rectangular form
    1. z=4(cos⁡(π4)+isin⁡(π4)) z=4(\cos(\frac{\pi}{4})+i\sin(\frac{\pi}{4}))
    2. w=13(cos⁡(180∘)+isin⁡(180∘)) w=13(\cos(180^{\circ})+i\sin(180^{\circ}))
    3. z=4(cos⁡(5π3)+isin⁡(5π3)) z=4(\cos(\frac{5\pi}{3})+i\sin(\frac{5\pi}{3}))
  3. Given that z=4−3iz=4-3i , and w=2−iw=2-i, find z+wz+w and express it in polar form
    Topic Notes
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    Knowing the argument and the modulus of a complex number allows us to convert a complex number from its rectangular form, which is what we have been using thus far, to its other basic form – polar form. We will see that while a complex number in rectangular form is denoted by its horizontal and vertical components, a complex number in polar form is denoted by its magnitude and argument.
    Basic Concepts
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    Related Concepts
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