# What is the Cartesian form of (12,(14pi)/3))?

Oct 11, 2017

x: -6
y: 10.39

#### Explanation:

Use conversion formula:

$x = r \cos \left(\theta\right)$

$y = r \sin \left(\theta\right)$

Whadaya know, the cosine of $\frac{14 \pi}{3} = - 0.5$, so the x coordinate is 12 * -0.5 = -6

the sine of this angle is 0.866, so the y coordinate is 12 * 0.866 = 10.39

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