Question

How do you graph `r = 2 csc theta`?

Answer 1

When `theta` =0, `pi` and 2`pi`, `abs r` = infinity. r= 2, when `theta` = `pi`/2 and r = `-`2, when `theta` = 3`pi`/2.The equation represents a straight line.

Explanation:

In ( 0, `pi` ), r > 0. In ( `pi`, 2`pi`) , r < 0 and the curve is traced in the reverse order..
The values of r repeat with period 2`pi`.
Easily, cross multiplying r sin `theta` = y = 2, representing the line parallel to the x-axis, at a height 2 units.
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