What is the value of 4(cos(120)+isin(120)) ?

The value of 4(cos(120)+isin(120)) is -2+2sqrt(3)i

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4(cos(120)+isin(120))

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

- 2 + 23 i

Solution steps

4 (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}

= 4 (- \frac{1}{2} + i \frac{3}{2})

Simplify

4 (- \frac{1}{2} + i \frac{3}{2}) : - 2 + 23 i

= - 2 + 23 i

arccos (900405)

1.5 \cdot cos (3 0^{\circ})

(cos (2 0^{\circ}))^{2}

cos (0.64)

cos (0.94)

What is the value of 4(cos(120)+isin(120)) ?
The value of 4(cos(120)+isin(120)) is -2+2sqrt(3)i