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Convert the rectangular coordinates (4√3,−4) to polar form. Let r>0 and 0 ≤ θ < 2π .Enter coordinates as simplifed fractions or radicals in simplest form.

 

(___,___)

 May 14, 2020
 #1
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r  =   sqrt [ (4√3)^2 + (-4)^2 ]  =  sqrt [ 48 + 16]  = sqrt (64)  =  8

 

θ   =  arctan (-4 / [4sqrt(3)]  =  arctan ( - 1/sqrt (3) )  =  -pi/6  = 11pi/6

 

So

 

( r, θ)  =  (8, 11pi/6)

 

 

cool cool cool

 May 14, 2020

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