Yeah lol. Too much information in the morning.Did you mean it's too early in the morning for you to comprehend it???
Complex number into a trigonometric form
- Thread starter Loki123
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Cubist
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@Loki123 to memorize pka's post#14 you only need to remember 2 things:- that tan is opposite/adjacent and that π is 180°. Then just do a quick sketch. For example consider the complex points A=x+iy and B=-x+iy...
Obviously arg(A) = atan( |y/x| ) because tan is opposite/adjacent
Follow the red arrows to see that arg(B) = pi - atan( |y/x| )
For quadrants 3 &4 just reflect the above sketch downwards (the arguments become negative, they are just measured downwards from the +ve x axis)
Obviously arg(A) = atan( |y/x| ) because tan is opposite/adjacent
Follow the red arrows to see that arg(B) = pi - atan( |y/x| )
For quadrants 3 &4 just reflect the above sketch downwards (the arguments become negative, they are just measured downwards from the +ve x axis)