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Write the complex number in the form a + bi.
3(cos 60° + i sin 60°)

Answer Choices
square root three divided by six plus square root of three divided by six times i

square root three divided by two plus three times square root three divided by two times i

three divided by two plus three square root three divided by two times i

square root of three + i

Respuesta :

Answer:

[tex]\frac{3}{2}[/tex] + [tex]\frac{3\sqrt{3} }{2}[/tex] i

Step-by-step explanation:

Using the exact value

cos60° = [tex]\frac{1}{2}[/tex] and sin60° = [tex]\frac{\sqrt{3} }{2}[/tex], then

3(cos60° + isin60°)

= 3( [tex]\frac{1}{2}[/tex] + [tex]\frac{\sqrt{3} }{2}[/tex] i) ← distribute by 3

= [tex]\frac{3}{2}[/tex] + [tex]\frac{3\sqrt{3} }{2}[/tex] i ← in the form a + bi

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