TammyFlow 3 years ago 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

1. richyw

what are you asking?

2. TammyFlow

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

3. tkhunny

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?

4. richyw

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

5. TammyFlow

@richyw yes

6. tkhunny

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.

7. TammyFlow

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

8. richyw

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.

9. richyw

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

10. TammyFlow

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

11. richyw

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

12. TammyFlow

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

13. richyw

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)

14. richyw

how many points do you want?

15. TammyFlow

I am going by 30 degrees so until 360

16. richyw

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

17. TammyFlow

well radians will be find also

18. richyw

not that is makes a difference for the shape though

19. TammyFlow

I understand but I am just trying to graph it

20. richyw

ok well then go 30 degrees more ($$\pi/3$$ radians) plug it in $$r(\pi/3)=-6(\pi/3)$$ so $$r=-2\pi$$

21. richyw

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

22. sirm3d

uhm, 30 degrees is $$\pi /6$$

23. richyw

haha oops yup

24. TammyFlow

Your fine you did 60 degrees

25. richyw

yup do what I said but every $$\pi/6$$

26. richyw

I make that mistake so often...

27. TammyFlow

It's fine we can't remember everything

28. richyw

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

29. richyw

30. TammyFlow

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

31. TammyFlow

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

32. richyw

33. TammyFlow

it is

34. richyw

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

35. TammyFlow

yes that's true

36. richyw

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...

37. TammyFlow

it is

38. sirm3d

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

39. TammyFlow

Thanks