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How do I plot things in the form r(cosx + isinx) on an argand diagram quickly?

For instance:

z1 = (1/2)^1/6(cos(pi/12) + isin(pi/12))

z2 = (1/2)^1/6(cos(17pi/12) + isin(17pi/12))

These are from an old past paper I'm studying from.

The diagram drawn has no values on it, just arrows which are the same length (I understand thats because of the modulus being the same).
Original post by BrainJuice
For instance:

z1 = (1/2)^1/6(cos(pi/12) + isin(pi/12))

z2 = (1/2)^1/6(cos(17pi/12) + isin(17pi/12))

These are from an old past paper I'm studying from.

The diagram drawn has no values on it, just arrows which are the same length (I understand thats because of the modulus being the same).


You know arg(z1) and arg(z2), so you know the angle of inclination from the real axis, then you know how to plot it.

Or are you asking something else?
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BrainJuice
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Original post by NotNotBatman
You know arg(z1) and arg(z2), so you know the angle of inclination from the real axis, then you know how to plot it.

Or are you asking something else?


I was just being a bit dim no worries. Thank you.
it is a bit awkward drawing a line of length (1/2)1/6...
Reply 4
Avatar for BrainJuice
BrainJuice
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15
Original post by the bear
it is a bit awkward drawing a line of length (1/2)1/6...


True but I understand it doesn't matter as long as all lengths that are the same are.
Original post by BrainJuice
True but I understand it doesn't matter as long as all lengths that are the same are.


fair enough :h:

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