Write $[2 (cos 3 0^{o} + i s in 3 0^{o})]^{2}$ in the form a + bi.

2 + i 3

\frac{3}{2} + \frac{1}{2} i

1 - i 3

\frac{3}{2} - \frac{1}{2} i

1 + i 3

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Write

[2 (cos 3 0^{o} + i s in 3 0^{o})]^{2}

in the form a + bi.

15 mins ago

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15 mins ago

Text solutionVerified

$[2 (cos 30 + i s in 30)]^{2} = 2 (cos^{2} 30 - sin^{2} 30 + i s in 60) = 2 (\frac{1}{2} + i \frac{3}{2}) = 1 + 3 i$

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Question Text	Write $[2 (cos 3 0^{o} + i s in 3 0^{o})]^{2}$ in the form a + bi.
Answer Type	Text solution:1
Upvotes	150