What is the Cartesian equivalent of polar coordinates #(7, pi)#?

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Answer 1 · 2014-10-01T22:01:54

In this problems we know that #(r,theta)->(7,pi)#.

We also know the following equations are used to convert polar coordinates to rectangular coordinates.

#(x,y)->(rcos(theta),rsin(theta))#

Substitute in the values for #r# and #theta#

#(x,y)->(7cos(pi),7sin(pi))#

Remember back to the unit circle

#cos(pi)=-1#
#sin(pi)=0#

Substitute in those values

#(x,y)->(7(-1),7(0))#

Simplify

#(x,y)->(-7,0)#