Polar Graph Sketching

How do you go about sketching r = sinθ+ cosecθ?

(edited 5 years ago)

Original post by crazychameleon

How do you go about sketching y = sinθ+ cosecθ?

What does

\text{cosec }\theta

look like by itself? Slightly tricky if you're not familiar with it, but it's a very simple graph.

And how about

\sin\theta

?

Now "add" the two graphs together.

Original post by ghostwalker

What does

\text{cosec }\theta

look like by itself? Slightly tricky if you're not familiar with it, but it's a very simple graph.

And how about

\sin\theta

?

Now "add" the two graphs together.

My bad, but I put y instead of r, this is a polar graph, not a cartesian one so that method won't work.

Original post by crazychameleon

My bad, but I put y instead of r, this is a polar graph, not a cartesian one so that method won't work.

I took it to be a polar curve.

When you "add" the two you need to do it along the radii, though for a sketch you're not looking for perfection.

Original post by ghostwalker

I took it to be a polar curve.

When you "add" the two you need to do it along the radii, though for a sketch you're not looking for perfection.

Thanks

Original post by crazychameleon

Thanks

Here's the actual plot, if you want something to check against.

Spoiler

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