Which rectangular equation is equivalent to the polar equation r sin theta=-2

Question

Mathematics

Dixie Riddle

22 October, 01:09

Which rectangular equation is equivalent to the polar equation r sin theta=-2

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Answers (1)

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Jaylin · Answer 1

To convert polar equations in the form of r∠∅ to rectangular coordinates in terms of x, y and r, the formulas are as follows:

r2 = x2 + y2

x = rcos∅

y = rsin∅

Since the equation is rsin∅=y, then rsin∅=-2 is equivalent to y=-2.