Find the rectangular coordinates of the point with the given polar coordinates.
-$( \sqrt { 3 } , \pi / 6 )$
A) $\left( \frac { 3 } { 2 } , \frac { \sqrt { 3 } } { 2 } \right)$
B) $\left( \frac { 1 } { 2 } , \frac { \sqrt { 3 } } { 2 } \right)$
C) $\left( \frac { \sqrt { 3 } } { 2 } , \frac { 1 } { 2 } \right)$
D) $\left( \frac { \sqrt { 3 } } { 2 } , \frac { 3 } { 2 } \right)$

Question

Quizplus · Accepted Answer

The rectangular coordinates (x, y) can be found from polar coordinates (r, θ) using the formulas x = r * cos(θ) and y = r * sin(θ). For r = $ \sqrt { 3 } $ and θ = $ \pi / 6 $, x = $ \sqrt { 3 } $ * cos($ \pi / 6 $) = $ \sqrt { 3 } $ * $ \sqrt { 3 } / 2 $ = 3/2, and y = $ \sqrt { 3 } $ * sin($ \pi / 6 $) = $ \sqrt { 3 } $ * 1/2 = $ \sqrt { 3 } / 2 $.

Find the Rectangular Coordinates of the Point with the Given (3,π/6)( \sqrt { 3 } , \pi / 6 )(3​,π/6)

Find the Rectangular Coordinates of the Point with the Given $( \sqrt { 3 } , \pi / 6 )$