Question

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

Answer 1

(- 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 = -17/16 pi`

Note : `(100 , -17/16 pi )`

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

Cartesian coordinates are in the 2nd quadrant.

hence : x = 100`xx cos (-17/16 pi ) = - 98 . 1`

and y`= 100 xx sin(-17/16 pi ) = 19.5`

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