How do you find the rectangular coordinates given the polar coordinates #(4, 210^circ)#?

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Answer 1 · 2018-01-09T13:28:27

#(-2sqrt(3) , -2 ) # - Cartesian...

We must use our knowledge of polar coordinates...

#x = r costheta #

#y = rsintheta #

we know #r = 4 # and #theta = 210^circ #

#=> x = 4cos210 = -2sqrt(3) #

#=> y = 4sin210 = -2 #

#=> (4,210^circ) -= color(red)((-2sqrt(3) , -2 ) #

This is the Cartesian coordinates