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

Question

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

Elbrinidr · Accepted Answer

Step 1      {                            y          =          r          sin          ⁡          θ                                      x          =          r          cos          ⁡          θ                          ⇒  P  (  x  ,     y  )  =  P  (  r  cos  ⁡  θ  ,     r  sin  ⁡  θ  )      {                            r          =                                    x                              2                                      +                          y                              2                                              ,                          tan          ⁡          θ          =                      y            x                                                θ          =          arctan          ⁡                      (                          y              x                        )                                    ⇒  P  (  r  ,     θ  )  =  P      (                  x                  2                    +              y                  2                      ,         arctan    ⁡          (              y        x            )        )  Given:             Given :               x    =    1    ,    y    =    -    18        r    =                            x          2                +                  y          2                      =                  -                  1          2                +                  18          2                      =          325            θ    =          arctan              (                  y          x                )              =          arctan              (        -                  1          18                )              =          356.82      ∘        ,                 IV Quadrant                                    Polar Form                                     (          r          ,          θ          )                =                  (                      325                    ,                      356.82            ∘                    )

What is the polar form of (

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