What is the value of cos((2pi)/3)+isin((2pi)/3) ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

cos((2pi)/3)+isin((2pi)/3)

cos (\frac{2 π}{3}) + i 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}

arctan (\frac{24}{7})

cos (\frac{- 4 π}{3})

arccos (\frac{6}{8})

arcsin (\frac{5}{7})

arctan (tan (\frac{17 π}{3}))

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