What is the value of cos((2pi)/3)+i*sin((2pi)/3) ?

The value of cos((2pi)/3)+i*sin((2pi)/3) is -1/2+i(sqrt(3))/2

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cos((2pi)/3)+i*sin((2pi)/3)

cos (\frac{2 π}{3}) + i \cdot sin (\frac{2 π}{3})

- \frac{1}{2} + i \frac{3}{2}

Solution steps

cos (\frac{2 π}{3}) + i sin (\frac{2 π}{3})

Use the following trivial identity:

cos (\frac{2 π}{3}) = - \frac{1}{2}

Use the following trivial identity:

sin (\frac{2 π}{3}) = \frac{3}{2}

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

1 + 2 cos (0)

arccos (0.17)

arctan (\frac{- 3}{- 1})

arccos (0.18)

\frac{tan ( 1 6 ^{\circ} ) + tan ( 1 4 ^{\circ} )}{1 - tan ( 1 6 ^{\circ} ) tan ( 1 4 ^{\circ} )}

What is the value of cos((2pi)/3)+i*sin((2pi)/3) ?
The value of cos((2pi)/3)+i*sin((2pi)/3) is -1/2+i(sqrt(3))/2