Here is the graph.
Find the fourth roots of 8√ 3 + 8i.
Graph each root on complex plane.
I think I have the roots...am I correct?
I don't understand how to graph them.
z1 = 4V16(cosπ/24 + isin π/24)
z2 = 4V16(cos 13π/24 + isin 13π/24)
z3 = 4V16(cos 25/24 + isin 25π/24)
z4 = 4V16(cos 37π/24 + isin 37π/24)
Do I have to change these to complex numbers to graph? How would I do that?
Thanks!
Assuming you mean that "4V16" is the 4th root of 16, you might as well replace them with "2."
You don't have to change the complex numbers to standard (a + bi) form if you know polar coordinates. They are in the form of P(r, θ), where r is the directed distance from the origin to P, and θ is the directed angle whose initial side is on the polar axis (which corresponds to the positive x-axis) and whose terminal side is on the line OP. So you would plot the points (2, π/24), (2, 13π/24), (2, 25π/24), and (2, 37π/24), which is what Plato did.
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