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# finding the arg(z) of the complex number z watch

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1. Z1= -3+3i

r= sq rt. of 18

Arg(z) = tan theta = 3/(-3) = -1
theta = -1/4 pi

pi - 1/4 pi = 3/4pi

Arg(z) = 3/4pi

2. (Original post by bio_ray18)
Z1= -3+3i

r= sq rt. of 18

Arg(z) = tan theta = 3/(-3) = -1
theta = -1/4 pi

pi - 1/4 pi = 3/4pi

Arg(z) = 3/4pi

3. if in doubt draw a quick sketch of the argand diagram (x-axis=real; y-axis=imaginary)

and that way you can confirm if your calculated angle (argument) is sensible

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Updated: May 19, 2010
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