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Stella [2.4K]
3 years ago
14

Which, if any, of

Mathematics
1 answer:
Nadya [2.5K]3 years ago
3 0

You need to convert the cartesian coordinates to polar: This means we need to go from (x, y) --> (r, angle)

We can covert, using the following formulas:

Find r:

(x, y) --> (2, 2\sqrt{3})

r^2 = \sqrt{x^2 + y^2}

r^2 = \sqrt{2^2 + (2\sqrt{3})^2}

r = 4

Now, find our angle:

Use the inverse of tan

\tan^{-1} \frac{2}{2\sqrt{3}} = 30\deg

Turn 30 degrees to radian

\frac{\pi}{180} * 30 = \frac{1}{6}\pi

Answer = (4, \frac{1}{6}\pi) = C


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