What is the value of 5(cos(135)+isin(135)) ?

The value of 5(cos(135)+isin(135)) is -(5sqrt(2))/2+i(5sqrt(2))/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

5(cos(135)+isin(135))

5 (cos (13 5^{\circ}) + i sin (13 5^{\circ}))

- \frac{5 2}{2} + i \frac{5 2}{2}

Solution steps

5 (cos (13 5^{\circ}) + i sin (13 5^{\circ}))

Use the following trivial identity:

cos (13 5^{\circ}) = - \frac{2}{2}

Use the following trivial identity:

sin (13 5^{\circ}) = \frac{2}{2}

= 5 (- \frac{2}{2} + i \frac{2}{2})

Simplify

5 (- \frac{2}{2} + i \frac{2}{2}) : - \frac{5 2}{2} + i \frac{5 2}{2}

= - \frac{5 2}{2} + i \frac{5 2}{2}

cos (38.6 6^{\circ})

tan (arccos (\frac{- 3}{5}))

arcsec (4.7)

tan^{2} (\frac{3 π}{4})

cot (\frac{π}{7})

What is the value of 5(cos(135)+isin(135)) ?
The value of 5(cos(135)+isin(135)) is -(5sqrt(2))/2+i(5sqrt(2))/2