Find the polar coordinates of the point. Then, express the angle in degrees and

Question

Find the polar coordinates of the point. Then, express the angle in degrees and again in radians, using the smallest possible positive angle (-613.6) The polar coordinates of the point are (Simplify your answer. Type an ordered pair. Type the coordinate for o in radians. Type an exact answer, using ? as needed. Use integers or fractions for any numbers in the expression.) Express the angle in degrees using the smallest possible positive angle (Simplity your answer. Type your answer in degrees.) Express the angle in radians using the smallest possible positive angle. Type an exact answer, using x as needed. Use integers or fractions for any numbers in the expression.)

Explanation / Answer

( - 6 sqrt 3 , 6 )

r = sqrt ( -6 sqrt 3^2 , 6^2 )

r = 12

theta = tan^-1 ( 6 / - 6 sqrt 3 )

theta = 11pi/6

the polar coordinates are

( 12 , 11pi/6 )

theta = 330 degrees

tehta = 11pi/6

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