# What is the Cartesian form of (100,(-17pi)/16))?

Jan 27, 2016

(- 98.1 , 19.5 )

#### Explanation:

Using the formulae that links Polar to Cartesian coordinates.

• x = r costheta

• y = r sintheta

Here r = 100 and $\theta = - \frac{17}{16} \pi$

Note : $\left(100 , - \frac{17}{16} \pi\right)$

denotes a point in the 2nd quadrant hence check that the

Cartesian coordinates are in the 2nd quadrant.

hence : x = 100$\times \cos \left(- \frac{17}{16} \pi\right) = - 98 . 1$

and y$= 100 \times \sin \left(- \frac{17}{16} \pi\right) = 19.5$

and ( - 98.1 , 19.5 ) is a point in the 2nd quadrant,