What is the Cartesian form of #(91,(-13pi) /12)#?

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Answer 1 · 2017-10-18T17:18:44

#( -87.90 , 23.55 )#

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It can be seen from the diagram that the x coordinate of P is #rcos(theta)# and the y coordinate of P is #rsin(theta)#

So:

#x=rcos(theta)#

#y=rsin(theta)#

From example:

#( 91 ,( -13pi)/12 )#

#x=(91)cos((-13pi)/12)= -87.89925019= -87.90# (2 .d.p.)

#y = (91)sin((-13pi)/12)= 23.55253310=23.55# (2 .d.p.)

Cartesian coordinate is:

#( -87.90 , 23.55 )#

Polar Graph:

enter image source here