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gandolf1212

URGENT! Math Problem help needed for final!

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I need to write this complex number in rectangular form: z = 8(cos p/6 + i sin p/6) Do I just distribute the 8 into the real and imaginary terms? Like... z = mag ( real + imaginary) mag*real + mag*imaginary? Thanks

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Multiplication of two complex numbers z1 and z2 is defined as:

z1z2 = (x1,y1)(x2,y2) = (x1x2-y1y2, x1y2+x2y1)


Writing 8 as the complex number z2 = (8,0i) and the original number z1=(cos p/6, sin p/6) we get:

(8,0)(cos p/6,sin p/6) = (8cos p/6-0sin p/6, 8sin p/6+cos p/6*0) =
(8 cos p/6, 8 sin p/6 )


So eventually it turns out right; you could have just distributed the 8. Greetz,

Illco

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Whee! We've moved beyond doing people's homework for them to actively helping them cheat on test in real time! Isn't the Internet wonderful?

(not really meant as a dig on Illco, more of a "what is the world coming to" sort of thing...)

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