Mathematics, 28.09.2019 00:30 jalenthomas2208
Find the cube roots of 27(cos 330á + i sin 330á). c:
Answers: 2
![\sqrt[3]{27(cos{330^{\circ}}+isin{330^{\circ}})}\\\\=\sqrt[3]{3^3(cos{330^{\circ}}+isin{330^{\circ}})}\\\\=\sqrt[3]{3^3(e^{330i})}\\\\=\sqrt[3]{3^3(e^{110i\times3})}\\\\=\sqrt[3]{(3e^{110i})^3}\\\\=3e^{110i}=3(cos{110^{\circ}}+isin{110^{\circ}})](/tpl/images/0269/5883/ee39b.png)
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Find the cube roots of 27(cos 330á + i sin 330á). c:...
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