What is the value of 4(cos(30)+isin(30)) ?

The value of 4(cos(30)+isin(30)) is 2sqrt(3)+2i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

4(cos(30)+isin(30))

4 (cos (3 0^{\circ}) + i sin (3 0^{\circ}))

23 + 2 i

Solution steps

4 (cos (3 0^{\circ}) + i sin (3 0^{\circ}))

Use the following trivial identity:

cos (3 0^{\circ}) = \frac{3}{2}

Use the following trivial identity:

sin (3 0^{\circ}) = \frac{1}{2}

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

Simplify

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

= 23 + 2 i

- sin (\frac{π ( 2 )}{2}) \frac{π}{2}

- sec (\frac{π}{6}) + 2 sec^{3} (\frac{π}{6})

6 cos (\frac{5 π}{3})

sin (11.2 5^{\circ})

ln (sec (\frac{π}{6}) + tan (\frac{π}{6}))

What is the value of 4(cos(30)+isin(30)) ?
The value of 4(cos(30)+isin(30)) is 2sqrt(3)+2i