Question

Express the complex number in trigonometric form.

2i

Answer 1

@imqwerty

Answer 2

@WhateverYouSay

Answer 3

a helpful link - http://www.ditutor.com/complex_numbers/trigonometric_form.html

Answer 4

i = SQRT of -1

Answer 5

@imqwerty yes link helpful

Answer 6

\[2 \iota=0+\iota2=r \cos \theta+\iota r \sin \theta\]
\[r \cos \theta=0\]
\[r \sin \theta=2\]
square and add
\[r=2\]
\[2 \sin \theta=2,\sin \theta=1=\sin \frac{ \pi }{ 2 }=\sin \left( 2 n \pi+\frac{ \pi }{ 2 } \right)\]
\[\theta=2 n \pi+\frac{ \pi }{ 2 }\]
\[2 \iota=2\left\{ \cos \left( 2 n \pi+\frac{ \pi }{ 2 } \right)+\iota \sin \left( 2 n \pi+\frac{ \pi }{ 2 } \right) \right\}\]
n is an integer.

Answer 7

thank you all the link really helped!