What is the value of 2(cos(120)+isin(120)) ?

The value of 2(cos(120)+isin(120)) is -1+sqrt(3)i

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2(cos(120)+isin(120))

2 (cos (12 0^{\circ}) + i sin (12 0^{\circ}))

- 1 + 3 i

Solution steps

2 (cos (12 0^{\circ}) + i sin (12 0^{\circ}))

Use the following trivial identity:

cos (12 0^{\circ}) = - \frac{1}{2}

Use the following trivial identity:

sin (12 0^{\circ}) = \frac{3}{2}

= 2 (- \frac{1}{2} + i \frac{3}{2})

Simplify

2 (- \frac{1}{2} + i \frac{3}{2}) : - 1 + 3 i

= - 1 + 3 i

- csc (\frac{3 π}{4})

(cos (\frac{π}{4}) + sin (\frac{π}{6}))^{2}

cos (94 5^{\circ})

cot (1 3^{\circ})

cos (arctan (- 5))

What is the value of 2(cos(120)+isin(120)) ?
The value of 2(cos(120)+isin(120)) is -1+sqrt(3)i