What is the Cartesian form of #( 7 , ( 7pi)/3 ) #?

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Answer 1 · 2017-05-15T21:57:27

#(3.5,7sqrt(3)/2)#

To convert a polar coordinate to Cartesian form, use the parametric form. Converting polar to parametric form is as follows:

#x=rcostheta#
#y=rsintheta#

#r=7# and #theta=7pi/3# based on our problem. Plug into the formula:

#x=7cos(7pi/3)=3.5#
#y=7sin(7pi/3)=7sqrt(3)/2#

Write this all together:

#(3.5,7sqrt(3)/2)#