Find three additional polar representations of the point $\left( 5 , - \frac { \pi } { 3 } \right)$, given in polar coordinates, using $- 2 \pi

Question

Find three additional polar representations of the point $\left( 5 , - \frac { \pi } { 3 } \right)$, given in polar coordinates, using $- 2 \pi < \theta < 2 \pi$.
A) $\left( 5 , \frac { 5 \pi } { 3 } \right) , \left( 5 , \frac { 2 \pi } { 3 } \right) , \left( - 5 , - \frac { 4 \pi } { 3 } \right)$
B) $\left( 5 , \frac { 5 \pi } { 3 } \right) , \left( 5 , \frac { 2 \pi } { 3 } \right) , \left( 5 , - \frac { 4 \pi } { 3 } \right)$
C) $\left( 5 , \frac { 5 \pi } { 3 } \right) , \left( - 5 , \frac { 2 \pi } { 3 } \right) , \left( - 5 , - \frac { 4 \pi } { 3 } \right)$
D) $\left( - 5 , \frac { 5 \pi } { 3 } \right) , \left( - 5 , \frac { 2 \pi } { 3 } \right) , \left( 5 , - \frac { 4 \pi } { 3 } \right)$
E) $\left( - 5 , \frac { 5 \pi } { 3 } \right) , \left( 5 , \frac { 2 \pi } { 3 } \right) , \left( - 5 , - \frac { 4 \pi } { 3 } \right)$

Quizplus · Accepted Answer

The Answer of Find three additional polar representations of the point $\left( 5 , - \frac { \pi } { 3 } \right)$, given in polar coordinates, using $- 2 \pi < \theta < 2 \pi$.
A) $\left( 5 , \frac { 5 \pi } { 3 } \right) , \left( 5 , \frac { 2 \pi } { 3 } \right) , \left( - 5 , - \frac { 4 \pi } { 3 } \right)$
B) $\left( 5 , \frac { 5 \pi } { 3 } \right) , \left( 5 , \frac { 2 \pi } { 3 } \right) , \left( 5 , - \frac { 4 \pi } { 3 } \right)$
C) $\left( 5 , \frac { 5 \pi } { 3 } \right) , \left( - 5 , \frac { 2 \pi } { 3 } \right) , \left( - 5 , - \frac { 4 \pi } { 3 } \right)$
D) $\left( - 5 , \frac { 5 \pi } { 3 } \right) , \left( - 5 , \frac { 2 \pi } { 3 } \right) , \left( 5 , - \frac { 4 \pi } { 3 } \right)$
E) $\left( - 5 , \frac { 5 \pi } { 3 } \right) , \left( 5 , \frac { 2 \pi } { 3 } \right) , \left( - 5 , - \frac { 4 \pi } { 3 } \right)$

Find Three Additional Polar Representations of the Point (5,−π3)\left( 5 , - \frac { \pi } { 3 } \right)(5,−3π​)

Find Three Additional Polar Representations of the Point $\left( 5 , - \frac { \pi } { 3 } \right)$