# What is the Cartesian form of (2,(15pi)/16))?

Oct 22, 2017

See below.

#### Explanation:

It can be seen from the diagram that the x coordinate of P is $r \cos \left(\theta\right)$ and the y coordinate of P is $r \sin \left(\theta\right)$

So:

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

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

From example:

$x = 2 \cos \left(\frac{15 \pi}{16}\right) = - 1.96$ (2 .d.p.)

$y = 2 \sin \left(\frac{15 \pi}{16}\right) = 0.39$ (2 .d.p.)

Cartesian coordinate:

$\left(1.69 , 0.39\right)$

Polar Graph: