# What is the Cartesian form of (81,(17pi)/12)?

Feb 21, 2016

(-20.96 , -78.24 )

#### Explanation:

Using the formulae that links Polar to Cartesian coordinates.

• x = rcostheta

• y = rsintheta

here r = 81 and $\theta = \frac{17 \pi}{12}$

$\Rightarrow x = 81 \cos \left(\frac{17 \pi}{12}\right) = - 20.96$

and $y = 81 \sin \left(\frac{17 \pi}{12}\right) = - 78.24$