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 $. Since $ -360^\circ $ is coterminal with $ 0^\circ $, we have $ x = -5 \cos 0^\circ = -5 $ and $ y = -5 \sin 0^\circ = 0 $. Therefore, the rectangular coordinates of the point are $ (-5, 0) $.

The Polar Coordinates of a Point Are Given (−5,−360∘)\left( - 5 , - 360 ^ { \circ } \right)(−5,−360∘)

The Polar Coordinates of a Point Are Given $\left( - 5 , - 360 ^ { \circ } \right)$