Convert a Point from Polar to Rectangular Coordinates
-$\left( 5.1 , \frac { \pi } { 9 } \right)$
A) $( 4.8,1.7 )$
B) $( 1.7,4.8 )$
C) $( - 4.8 , - 1.7 )$
D) $( - 1.7 , - 4.8 )$

Question

Quizplus · Accepted Answer

To convert polar coordinates $(r, \theta)$ to rectangular coordinates $(x, y)$, use the formulas $x = r \cos(\theta)$ and $y = r \sin(\theta)$. Here, $r = 5.1$ and $\theta = \frac{\pi}{9}$. Calculating $x = 5.1 \cos(\frac{\pi}{9})$ and $y = 5.1 \sin(\frac{\pi}{9})$ gives approximately $x = 4.8$ and $y = 1.7$, which matches choice A.

Convert a Point from Polar to Rectangular Coordinates - (5.1,π9)\left( 5.1 , \frac { \pi } { 9 } \right)(5.1,9π​)

Convert a Point from Polar to Rectangular Coordinates
- $\left( 5.1 , \frac { \pi } { 9 } \right)$