What is the polar form of ( 1 , 18 ) ?

Question

What is the polar form of             (      1      ,      18      )       ?

Anika Stevenson · Accepted Answer

Step 1Given Cartesian coordinates             (      x      ,      y      )       in Quadrant I      r    =                            x          2                +                  y          2                    and      θ    =          arctan              (                  y          x                )

abbracciopj · Accepted Answer

Step 1Polar format:   (  r  ,     θ  )      r    =                            x          2                +                  y          2                          θ    =                  tan                  -          1                            (                  y          x                )            apply both formulas when going from Cartesian   → polar                              1          2                +                  18          2                      =                  325              ≈    18.0        θ    =                  tan                  -          1                            (                  18          1                )              =                  tan                  -          1                            (        18        )              ≈    1.5    r    a    d    i    a    n    s  Thus our answer of:Polar format of (1,18) Cartesian is: (18, 1.5)

What is the polar form of ( 1 , 18 ) ?

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