Choose the one alternative that best completes the statement or answers the question.
The polar coordinates of a point are given. Find the rectangular coordinates of the point.
-$$\left( - 5 , - 360 ^ { \circ } \right)$$
A) $( 5,0 )$
B) $( - 5,0 )$
C) $( 0,5 )$
D) $( 0 , - 5 )$

Question

Quizplus · Accepted Answer

The polar coordinates $( r, \theta )$ are related to the rectangular coordinates $( x, y )$ by the equations $ x = r \cos \theta $ and $ y = r \sin \theta $. In this case, $ r = -5 $ and $ \theta = -360^\circ = 0^\circ $, so the rectangular coordinates are $ x = -5 \cos 0^\circ = -5 $ and $ y = -5 \sin 0^\circ = 0 $. Therefore, the rectangular coordinates of the point are $(-5, 0)$.

Choose the One Alternative That Best Completes the Statement or Answers