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

1 Answer
A. S. Adikesavan
Feb 25, 2016

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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