Write each complex number in standard form. 2(cos⁡30∘+isin⁡30∘)

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saiyansruleA · Accepted Answer

The standard form of complex number is a+ib
So, consider $2 (\cos 30^{\circ} + i \sin 30^{\circ})$
$= 2 (\frac{\sqrt{3}}{2} + i \frac{1}{2}) [∴ \cos 30^{\circ} = \frac{\sqrt{3}}{2} \sin 30^{\circ} = \frac{1}{2}]$
$= 2 (\frac{\sqrt{+} i}{2})$
Here $\sqrt{3 + i}$ is of the form a+ib
Hence, the standard form of given complex number is $\sqrt{3 + i}$

Write each complex number in standard form. 2(cos⁡30∘+isin⁡30∘)

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