How do you convert #(-2, pi)# into cartesian form?

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Answer 1 · 2017-10-14T14:41:36

#( 2 , 0 )#

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:

Polar:

#( -2 , pi )#

#x=(-2)cos(pi)= 2#

#y = (-2)sin(pi)= 0#

Cartesian coordinate is:

#( 2 , 0 )#

Polar graph:

enter image source here