Find All the Polar Coordinates of the Point $( - 6 , \pi / 3 )$

question 337

Multiple Choice

Find all the polar coordinates of the point.
- $( - 6 , \pi / 3 )$

• A) \(( 6,4 \pi / 3 + 2 \mathrm { n } \pi ) , ( - 6 , \pi / 3 + 2 \mathrm { n } \pi )\)
• B) \(( 6 , \pi / 3 + 2 \mathrm { n } \pi ) , ( 6,4 \pi / 3 + 2 \mathrm { n } \pi )\)
• C) \(( 6,4 \pi / 3 + 2 n \pi ) , ( - 6 , - \pi / 3 + 2 n \pi )\)
• D) \(( 6,4 \pi / 3 + 2 n \pi ) , ( - 6,2 \pi / 3 + 2 n \pi )\)

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Definitions:

Right Triangle

A triangle that has one angle measuring 90 degrees, with sides called the hypotenuse, opposite, and adjacent.

Hypotenuse

The longest side of a right-angled triangle, directly opposite the right angle, calculated using the Pythagorean theorem.

Inches

A unit of measurement equal to 1/12th of a foot, used primarily in the United States and United Kingdom.

Vector Addition

A method of adding angles.