What is the Cartesian form of #(2,(15pi)/16))#?

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Answer 1 · 2017-10-22T09:09:05

See below.

enter image source here

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:

#x=2cos((15pi)/16)=-1.96# (2 .d.p.)

#y=2sin((15pi)/16)=0.39# (2 .d.p.)

Cartesian coordinate:

#( 1.69 , 0.39 )#

Polar Graph:

enter image source here