Find the rectangular coordinates of the point given in polar coordinates.Round your results to two decimal places. $$\left( 2 , \frac { 2 \pi } { 15 } \right)$$
A)Rectangular coordinates: (1.83,-0.81)
B)Rectangular coordinates: (1.83,1.83)
C)Rectangular coordinates: (-0.81,0.81)
D)Rectangular coordinates: (1.83,0.15)
E)Rectangular coordinates: (1.83,0.81)

Question

Find the rectangular coordinates of the point given in polar coordinates.Round your results to two decimal places.​ $$\left( 2 , \frac { 2 \pi } { 15 } \right)$$ ​
A)Rectangular coordinates: (1.83,-0.81)
B)Rectangular coordinates: (1.83,1.83)
C)Rectangular coordinates: (-0.81,0.81)
D)Rectangular coordinates: (1.83,0.15)
E)Rectangular coordinates: (1.83,0.81)

Quizplus · Accepted Answer

Using the conversion formula, we have:
x = r*cos(theta) = 1.83*cos(60) = 0.915
y = r*sin(theta) = 1.83*sin(60) = 0.81
Therefore, the rectangular coordinates are (0.915, 0.81), which matches with option E after rounding to two decimal places.

Find the Rectangular Coordinates of the Point Given in Polar (2,2π15)\left( 2 , \frac { 2 \pi } { 15 } \right)(2,152π​)

Find the Rectangular Coordinates of the Point Given in Polar $\left( 2 , \frac { 2 \pi } { 15 } \right)$