Help with graphing r=4Sin(5 [theta])

Question

zepdrix · Answer

$\Large\rm r=4\sin(5\theta)$

Hey Adam!
So what's the plan here? We need to construct a polar graph of this?

anonymous · Answer

yes please :D

dangerousjesse · Answer

Wolfram can be fairly useful at such times :P

zepdrix · Answer

Umm ok we're going to get some kind of Rose Curve.
$\Large\rm r=a\sin(n\theta)$

$\Large\rm a$ tells us how far out each petal will extend.
$\Large\rm n$ is telling us how many petals we'll have. (5 in this case).

I like to construct a table I guess.. usually helps with plotting it.

anonymous · Answer

yeah i figured it would form the shape of a rose petal

anonymous · Answer

anyone here?

anonymous · Answer

@DangerousJesse thanks!!! i tried using that site, it didnt work for me :(

zepdrix · Answer

Ah sorry D: Had to get food out of the oven.

zepdrix · Answer

|dw:1408408052160:dw|

zepdrix · Answer

A rose with an `even` number of petals will be traced out in $\Large\rm 2pi$.
Since we have a rose with an `odd` number of petals, it will be traced out in $\Large\rm \pi$.

So let's ummm... choose some angles...

zepdrix · Answer

Desmos is also a nice graphing tool that you can use :) https://www.desmos.com/calculator/kx8ewlwhom

anonymous · Answer

wow, i wish i would've found out about these sites a long time ago

zepdrix · Answer

|dw:1408408235811:dw|So it looks like it's finishing each petal in pi/5.
Ugh these are tough to come up with good angles >.<