How do I convert the polar coordinates $3(cos 210^circ +i\ sin 210^circ)$ into rectangular form?

Question

How do I convert the polar coordinates $3(cos 210^circ +i\ sin 210^circ)$ into rectangular form?

1 Answer

Impact of this question

4128 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-01-18T17:32:16

You must multiply the modulus, $3$ , by the values of the $cos$ and $sin$ , as:
$z=3cos(210°)+i3sin(210°)=$
to get the rectangular form: $z=a+ib$
$=-3sqrt(3)/2-i3/2$
Where:
$cos(210°)=-sqrt(3)/2$
$sin(210°)=-1/2$

Graphically you can see this as:

enter image source here

Science

Math

Humanities

... and beyond

How do I convert the polar coordinates $3(cos 210^circ +i\ sin 210^circ)$ into rectangular form?

1 Answer

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do I convert the polar coordinates 3(cos 210^circ +i\ sin 210^circ)3(cos 210^circ +i\ sin 210^circ) into rectangular form?

1 Answer

Related questions

Impact of this question

How do I convert the polar coordinates $3(cos 210^circ +i\ sin 210^circ)$ into rectangular form?