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

1 Answer
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 = -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,