What is the value of cos((7pi)/4)+isin((7pi)/4) ?

The value of cos((7pi)/4)+isin((7pi)/4) is (sqrt(2))/2-i(sqrt(2))/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

cos((7pi)/4)+isin((7pi)/4)

cos (\frac{7 π}{4}) + i sin (\frac{7 π}{4})

\frac{2}{2} - i \frac{2}{2}

Solution steps

cos (\frac{7 π}{4}) + i sin (\frac{7 π}{4})

Rewrite using trig identities:

cos (\frac{7 π}{4}) = \frac{2}{2}

Rewrite using trig identities:

sin (\frac{7 π}{4}) = - \frac{2}{2}

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

Simplify

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

= \frac{2}{2} - i \frac{2}{2}

arctan (\frac{13}{6})

arctan (- 21)

arccos (\frac{10}{14})

tan (\frac{π}{4}) - cos (\frac{π}{3})

cos (1.2 π)

What is the value of cos((7pi)/4)+isin((7pi)/4) ?
The value of cos((7pi)/4)+isin((7pi)/4) is (sqrt(2))/2-i(sqrt(2))/2