Question

Find the trigonometric form for (√3 + i)(1 + i).

Answer 1

is this your question..
\[(\sqrt{3}+i)(1+i)\]

Answer 2

no he's asking for the cis form

Answer 3

yesss

Answer 4

I know what he's asking..

Answer 5

\[(\sqrt{3}+i)(1+i)=\sqrt{3}-1+(\sqrt{3}+1)i\]

Answer 6

im trying to get it to a squared + b squared form , so i could put it in trigonometric form .

Answer 7

I didnot finish yet..

Answer 8

\[|z|=r=\sqrt{x^2+y^2}\]

Answer 9

\[x=\sqrt{3}-1\quad y=\sqrt{3}+1\]

Answer 10

\[x^2=3-2\sqrt{3}+1\quad y^2=3+2\sqrt{3}+1\]

Answer 11

\[x^2+y^2=8\]
\[|z|=r=\sqrt{8}=2\sqrt{2}\]

Answer 12

\[\theta=\tan^{-1} \frac yx\]

Answer 13

\[\frac yx=2+\sqrt{3}\]
\[\theta=\tan^{-1}( 2+\sqrt{3})=75\]

Answer 14

\[z=rcis \theta\]

Answer 15

\[z=2\sqrt{2}cis75\]

Answer 16

or \[z=2\sqrt{2}cis \frac {\pi}{4}\]