Convert the Given Rectangular Coordinates to Polar Coordinates $0 \leq \theta < 2 \pi$

question 10

Multiple Choice

Convert the given rectangular coordinates to polar coordinates. Express the answer in such a way that r is nonnegative and $0 \leq \theta < 2 \pi$ . $( - 5 , - 5 )$

• A) \(\left( 5 , - \frac { 5 \pi } { 4 } \right)\)
• B) \(\left( 5 \sqrt { 2 } , \frac { 5 \pi } { 4 } \right)\)
• C) \(\left( 5 , \frac { \pi } { 4 } \right)\)
• D) \(\left( 5 \sqrt { 2 } , \frac { \pi } { 4 } \right)\)
• E) \(\left( - 5 \sqrt { 2 } , \frac { 5 \pi } { 4 } \right)\)

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Definitions:

Calcaneal

Pertaining to the calcaneus, the large bone forming the heel of the foot.

Heel Bone

Also known as the calcaneus, it is the large bone forming the foundation of the rear part of the foot.

Carpal

refers to the bones forming the human wrist, facilitating hand movement and stability.

Coccygeal

Pertaining to the coccyx, the small bone at the bottom of the spine, commonly referred to as the tailbone.