Question

Express 5√3-5i in polar form.

Answer 1

this expression is a bit ambiguous. Need to write it a bit better. Try the equation tool.

Answer 2

ok so
\[5\sqrt{3} -5i\]

Answer 3

\[z=a+bi\]
\[r=|z|=\sqrt{a^{2}+b^{2}}\]
\[\theta=\tan^{-1}(\frac{ b }{ a })\]
polar coordinates are in the form of
\[(r,\theta)\]

Answer 4

so let
\[z=5\sqrt{3}-5i\]

a is the real part, y is the imaginary part so you have
\[r=|z|=\sqrt{(5\sqrt{3})^{2}+(-5)^{2}}\]

Answer 5

you can finish the rest using this

Answer 6

I meant b is the imaginary part, not y, sorry

Answer 7

for some reason i got 40 for r, I don't know if its correct

Answer 8

you should get 25(3)+25=100
then sqrt 100= 10

Answer 9

if you write out your calculation step by step I can see where you went wrong

Answer 10

do I multiply the square root with 5 ?

Answer 11

yes

Answer 12

it is 5 lots of sqrt3
so 5sqrt3

you square it to get
5sqrt3 x 5sqrt3
which gives
(5x5)(sqrt3 x sqrt3)
which gives

25sqrt9
sqrt9=3

25(3)=75

Answer 13

ah, now I see, Thank you Very much

Answer 14

Continue through the question to make sure you get the correct final answer

Answer 15

for theta I got -60, but I think that wouldn't work.

Answer 16

you shouldn't get 60 at all

Answer 17

\[\theta = \tan^{1}(\frac{ b }{ a })= \tan^{-1}(\frac{ 5 }{ 5\sqrt{3} })\]

Answer 18

you should get 30 degrees

Answer 19

1/6pi

Answer 20

sorry, I am still getting 60, I know your write because I know the answer but I don't know how

Answer 21

show me your working out

Answer 22

you are doing \[\tan^{-1}(\frac{ 5\sqrt{3} }{ 5 })\]

Answer 23

switch the fraction around

Answer 24

and you get 30

Answer 25

I am doing that,and still get 60. Maybe its the calculator

Answer 26

do
\[\frac{ 5 }{ 5\sqrt{3} }\]

Answer 27

\[\tan^{-1}(ans)\]

Answer 28

man I'm still getting the answer. I don't want to take more of your time. Thanks!

Answer 29

wait maybe try

\[5\sqrt{3}\]

press equals
then
\[\frac{ 5 }{ ans }\]

press equals then

\[\tan^{-1}(ans)\]

if this doesn't work then I give up xD

Answer 30

oh so now I got it thanks man!