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What is $\theta$ significance in Euler equation $$e^{i\theta}=\cos(\theta) +i\sin(\theta)$$

Does $\theta$ have any impact on unit circle construction?

Reference: http://www.ctralie.com/Teaching/Euler/

cjferes
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justin
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    $\theta$ is the parameter for the curve that traces out the circle (counter-clockwise starting from $1$). – Hayden Oct 27 '14 at 14:15
  • is it only used to rotate the curve?Is there no impact on magnitude. – justin Oct 27 '14 at 14:16
  • It doesn't rotate the curve, it's the parameter for the curve. $\theta$ is the angle, and $\cos(\theta)+i\sin(\theta)$ is the point it corresponds to. It won't affect the magnitude; that's the point. – Hayden Oct 27 '14 at 14:17
  • why is Euler's equation applied in Laplace transform – justin Oct 27 '14 at 14:18
  • That's a very different question, and you should probably make that a new question with some more context, specifically where you're seeing Euler's equation being used. There is a lot of complex analytic theory that deals with the laplace equation, so without a specific context, that question is much too broad. – Hayden Oct 27 '14 at 14:21
  • Perhaps this might also prove helpful. – Lucian Oct 27 '14 at 14:46

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I hope This helps

I got this by googling

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