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convert these points (6,-7) and (4,3) into polar coordinates.

 Sep 6, 2017
 #1
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(6, -7)  =  (x, y)

 

In polar coordinates we will have    (x , y)  =  ( r , θ)

 

r =  sqrt ( x^2 + y^2)         θ =  arctan (y /x)   ....this is in rads

 

r = sqrt ( 6^2 +  (-7)^2 )  =  sqrt (36 + 49)  =  sqrt ( 85)

 

θ =  arctan (y /x)   =    arctan ( -7/6)  ≈  -0.862 

 

So   (6, -7)   =   ( sqrt (85), -0.862 )   in  polar form

 

 

See if you can do the second one....

 

 

 

cool cool cool

 Sep 6, 2017

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