What is sqrt(3)i*2cis(pi/6) ?

The solution to sqrt(3)i*2cis(pi/6) is (pii^2cs)/(sqrt(3))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sqrt(3)i*2cis(pi/6)

simplify

3 i \cdot 2 c i s (\frac{π}{6})

\frac{π i ^{2} cs}{3}

Solution steps

3 i \cdot 2 c i s (\frac{π}{6})

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

ii = i^{1 + 1}

= 3 \cdot 2 c i^{1 + 1} s \frac{π}{6}

Add the numbers:

1 + 1 = 2

= 3 \cdot 2 c i^{2} s \frac{π}{6}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{π 3 \cdot 2 c i ^{2} s}{6}

Cancel the common factor:

2

= \frac{3 π i ^{2} cs}{3}

Apply radical rule:

3 = 3^{\frac{1}{2}}

= \frac{3 ^{\frac{1}{2}} π i ^{2} cs}{3}

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = \frac{1}{x ^{b - a}}

\frac{3 ^{\frac{1}{2}}}{3 ^{1}} = \frac{1}{3 ^{1 - \frac{1}{2}}}

= \frac{π i ^{2} cs}{3 ^{1 - \frac{1}{2}}}

Subtract the numbers:

1 - \frac{1}{2} = \frac{1}{2}

= \frac{π i ^{2} cs}{3 ^{\frac{1}{2}}}

Apply radical rule:

3^{\frac{1}{2}} = 3

= \frac{π i ^{2} cs}{3}

(1 0^{- 3}) (1 - \frac{58102.94}{0.83})^{- 2}

[(- \frac{9}{16})^{- 3}]^{- 2}

- 0.4 e^{- 0.002 \cdot 100}

e^{5 t} \cdot e^{- 5 t}

0.3 (e^{- 5})

What is sqrt(3)i*2cis(pi/6) ?
The solution to sqrt(3)i*2cis(pi/6) is (pii^2cs)/(sqrt(3))