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Misha Larkins [42]
3 years ago
10

For z = 2cis 60°, find z4 in rectangular form.

Mathematics
2 answers:
a_sh-v [17]3 years ago
5 0
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
REY [17]3 years ago
5 0

Answer:

For plato users the answeris -8-8\sqrt{3i}

Step-by-step explanation:

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