What is the Cartesian form of #(-4,(-19pi)/4))#?

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Answer 1 · 2018-02-27T11:44:55

(2.8, 2.8)

To turn polar coordinates into Cartesian form we use the following formulas: #(x,y)#

#x= rcosx#

#y=rsinx#

In the polar coordinates #r#= -4, and #x#= #-(19pi)/4#

Then, we insert these values into the formulas:

#x= -4cos(-(19pi)/4) = 2.8#

#y= -4sin(-(19pi)/4)= 2.8#

Therefore, the coordinates in Cartesian form is : #(2.8,2.8)#