Find the modulus and argumrent of the following complex numbers and hence express each of them in the polar form:
$sin 120^{\circ} - i cos 120^{\circ}$

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Solution

$sin 120^{\circ} - i cos 120^{\circ} = cos 30^{\circ} + i sin 30^{\circ} = cos \frac{π}{6} + i sin \frac{π}{6} = e^{i \frac{π}{6}}$
Modulus and argument of $sin 120^{\circ} - i cos 120^{\circ}$ are $1$ and $\frac{π}{6}$ respectively

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Find the modulus and argumrent of the following complex numbers and hence express each of them in the polar form:sin120∘−icos120∘

sin120∘−icos120∘=cos30∘+isin30∘=cosπ6+isinπ6=eiπ6Modulus and argument of sin120∘−icos120∘ are 1 and π6 respectively

Find the modulus and argumrent of the following complex numbers and hence express each of them in the polar form:
$sin 120^{\circ} - i cos 120^{\circ}$

$sin 120^{\circ} - i cos 120^{\circ} = cos 30^{\circ} + i sin 30^{\circ} = cos \frac{π}{6} + i sin \frac{π}{6} = e^{i \frac{π}{6}}$
Modulus and argument of $sin 120^{\circ} - i cos 120^{\circ}$ are $1$ and $\frac{π}{6}$ respectively