Question

Express the complex number in trigonometric form.

3 - 3i

Answer 1

@hartnn

Answer 2

use the same formula
here
x= 3
y= -3

Answer 3

3sqrt2?

Answer 4

yes

Answer 5

okay so then tan^-1(-3) would be negative so 180?

Answer 6

use calculator or google to calculate that

Answer 7

and its tan^-1 (y/x) = tan^-1 (-3/3) = tan^-1 (-1)

Answer 8

=-71 so it would sitll be 180

Answer 9

jk -45

Answer 10

we use 0,180 or 360, only when the angle is 0

Answer 11

.-. i hate calculus

Answer 12

yep, -45 or +135
so whats the trigonometric form ?

Answer 13

idk.... google seems to hate me at the moment and is only giving me pictures of a whiteboard with a man standing in front of it who looks like hes constipated soooooo yeah c:

Answer 14

seriously though.....

Answer 15

lol
put it in the form
\(\large r (\cos \theta +i\sin \theta )\)

Answer 16

o.o yeah.... not happening

Answer 17

\(3 \sqrt 2 (\cos 135 +i\sin 135)\)
thats it!

Answer 18

wrong .-. its not an answer and i found an even better picture....

Answer 19

3 - 3i

three times the quantity cosine of five pi divided by four plus i times sine of five pi divided by four

three square root two times the quantity cosine of seven pi divided by four plus i times sine of seven pi divided by four

three times the quantity cosine of seven pi divided by four plus i times sine of seven pi divided by four

three square root two times the quantity cosine of five pi divided by four plus i times sine of five pi divided by four

Answer 20

oh, so we halready have 3 sqrt 2
they just need the angle in radians