What is the value of 3(cos(pi/4)+isin(pi/4)) ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

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

Solution steps

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

Use the following trivial identity:

cos (\frac{π}{4}) = \frac{2}{2}

Use the following trivial identity:

sin (\frac{π}{4}) = \frac{2}{2}

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

Simplify

3 (\frac{2}{2} + i \frac{2}{2}) : \frac{3 2}{2} + i \frac{3 2}{2}

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

arcsin (\frac{6.5}{9.3})

cot (\frac{16 π}{3})

arcsin (sin (\frac{9 π}{4}))

sec (19 5^{\circ})

15 \cdot sin (3 7^{\circ})

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