# How do you convert ((5, -4pi/3)) into rectangular forms?

Rectangular coordinates are $x = - \frac{5}{2}$ and $y = \frac{5 \sqrt{3}}{2}$

#### Explanation:

Given: $r = 5$ and $\theta = \frac{- 4 \pi}{3} = - {240}^{\circ}$
Angle $\theta$ is located at the second quadrant.

$x = r \cos \theta = 5 \cdot \cos \left(\frac{- 4 \pi}{3}\right) = - \frac{5}{2}$

$y = r \sin \theta = 5 \cdot \sin \left(\frac{- 4 \pi}{3}\right) = \frac{5 \sqrt{3}}{2}$

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