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or you can talk about the length of the vector and the angle it makes.
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Then, it's clear that x=r·cos(θ), and y=r·sin(θ),
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where θ is now an angle associated with a complex number
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which tells you at what angle it's located,
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and r is the length of the complex number.
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It's called the polar form of the complex number.
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Then, you can see that z, which is x+i·y,
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is equal to r·(cos(θ)+i·sin(θ))
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which you can now write as r·e^(i·θ).
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That's why we did all that work,
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to tell you that a complex number can be written in this form.
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You can either write this x+i·y, or else r·e^(i·θ).