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Which equation is the polar equivalent to the equation y=−√3/3x? θ=π/6 θ=π/3 θ=2π/3 θ=5π/6

 Jun 9, 2022
 #1
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 y=  r sin (theta)

 

x =  rcos (theta)

 

So

 

r sin (theta) = [ sqrt (3) / 3 ] *  [ r cos (theta) ]

 

sin (theta)  =    (1 /sqrt 3) * cos (theta)

 

sin (theta)  / cos (theta)  =  1 / sqrt 3

 

tan (theta)  =1 /sqrt 3

 

arctan (1/sqrt 3) = theta  =    pi / 6

 

 

cool cool cool

 Jun 9, 2022

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