Question

Does anyone now the table for the polar equation -6t(t is degree or radians)? No any helpful websites to help me get the table for this

Answer 1

what are you asking?

Answer 2

I am asking for the table for the polar equation -6t

Answer 3

There is no such thing as "the table". This explains why you cannot find it. Can you provide more information? Is there a specific problem you are working on?

Answer 4

you want to make a table of cartesian coordinates for the polar function \(r(t)=-6t\) ?

Answer 5

@richyw yes

Answer 6

Notice richyw's use of the phrase "a table". You can make a table on any values you like. This is why "the table" doesn't exist.

Answer 7

Okay. So I am just basically looking for the coordinates of this equation

Answer 8

you could make a table of the polar coordinates. so for whatever angle t, you would have whatever radius r. or you could convert these coordinates to cartesian values, which would have x and y values being compared.

Answer 9

either way all you are doing is solving this equation for a few values.

Answer 10

No I have polar graph paper and all i need is like the points.

Answer 11

ok I see. so then you just directly solve this. choose whatever values of t that you want and then you will get the r value directly from the equation

Answer 12

Can you give me an example? If you don't mind

Answer 13

alright well the first point I would do would be at an angle of 0. so\[r(0)=-6(0)=0\] so you know that point will have angle 0 radius 0 (the origin)

Answer 14

how many points do you want?

Answer 15

I am going by 30 degrees so until 360

Answer 16

are you sure this is in degrees? usually I would assume radians unless it specified.

Answer 17

well radians will be find also

Answer 18

not that is makes a difference for the shape though

Answer 19

I understand but I am just trying to graph it

Answer 20

ok well then go 30 degrees more (\(\pi/3\) radians)

plug it in \(r(\pi/3)=-6(\pi/3)\)
so \(r=-2\pi\)

Answer 21

then plug in \(2\pi/3\) etc until you reach \(2\pi\)

Answer 22

uhm, 30 degrees is \(\pi /6\)

Answer 23

haha oops yup

Answer 24

Your fine you did 60 degrees

Answer 25

yup do what I said but every \(\pi/6\)

Answer 26

I make that mistake so often...

Answer 27

It's fine we can't remember everything

Answer 28

what I would do if I was you is calculate \(2\pi\) first and then it will give you an idea of the scale you need to use for the graph. because it's going to be a spiral shaped thing

Answer 29

Yes I have a art math project I already drew my flower

Answer 30

Hey can you convert that to radians because it will make my day much easier

Answer 31

that's already in radians

Answer 32

it is

Answer 33

yes if it was in degrees you would have much larger values of r!

Answer 34

yes that's true

Answer 35

I suppose if you wanted to see the radius scale in terms of fractions of pi I could open up octave. but you are gonna need to make the table of values anyways if that's what's required...

Answer 36

it is

Answer 37

here's a graph of the polar equation \(r(t) = 6t\) in the interval \(0 \leq t \leq 2\pi\)

Answer 38

Thanks