# How do you convert (3,pi/3) into rectangular coordinates?

Nov 8, 2015

Polar with radius = 3 and angle $\frac{\pi}{3} \mathmr{and} {60}^{o}$

#### Explanation:

At, ${60}^{o}$, $\sin \left(60\right) = \sqrt{\frac{3}{2}} \mathmr{and} \cos \left(60\right) = \frac{1}{2}$

Now, to convert to rectangular , simply multiply these by the radius of 3:

rectangular $= \left[r \cos \left(\theta\right) , r \sin \left(\theta\right)\right] = \left(\frac{3}{2} , 3 \frac{\sqrt{3}}{2}\right)$

hope that helped