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prisoha [69]
2 years ago
8

I'm so confused rn, please help a girl out

Mathematics
1 answer:
Svetach [21]2 years ago
3 0
<h2>The test is worth 15 points.</h2><h3 /><h3>Double-check:</h3><h3>15 x 1.2 = 18</h3>
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For z = 2cis 60°, find z4 in rectangular form.
a_sh-v [17]
By DeMoivre's theorem,

z=2\mathrm{cis}60^\circ\implies z^4=2^4\mathrm{cis}(4\times60)^\circ=16\mathrm{cis}\,240^\circ
z^4=16(\cos240^\circ+i\sin240^\circ)
z^4=16\left(-\dfrac12-i\dfrac{\sqrt3}2\right)
z^4=-8-i8\sqrt3
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