Give the rectangular coordinates for the point.
-$$\left( 8,225 ^ { \circ } \right)$$
A) $( - 4 \pi , - 4 \pi )$
B) $( - 4 \sqrt { 3 } , - 4 \sqrt { 3 } )$
C) $( - 4 \sqrt { 2 } , - 4 \sqrt { 2 } )$
D) $( 4 \sqrt { 2 } , 4 \sqrt { 2 } )$

Question

Quizplus · Accepted Answer

The polar coordinates $(8, 225^\circ)$ can be converted to rectangular coordinates using the formulas $x = r \cos \theta$ and $y = r \sin \theta$. Here, $r = 8$ and $\theta = 225^\circ$. Converting $225^\circ$ to radians gives $\frac{5\pi}{4}$. Thus, $x = 8 \cos \frac{5\pi}{4} = -4\sqrt{2}$ and $y = 8 \sin \frac{5\pi}{4} = -4\sqrt{2}$.

Give the Rectangular Coordinates for the Point (8,225∘)\left( 8,225 ^ { \circ } \right)(8,225∘)

Give the Rectangular Coordinates for the Point $\left( 8,225 ^ { \circ } \right)$