How to express the complex number in rectangular form: z = 5 ( cos 120 d e g r e e s + i sin 120 d e g r e e s ) ?

Question

How to express the complex number in rectangular form:       z    =    5          (              cos        120            d      e      g      r      e      e      s      +      i              sin        120            d      e      g      r      e      e      s      )      ?

Karbamidjts · Accepted Answer

(      -              5        2            ,              5        2                    3            )       Explanation: using the mathematical relations between polar and rectangular coordinates.      •    x    =    r          cos      θ            •    y    =    r          sin      θ      here r = 5 and       θ    =          120      ∘      Therefore:       x    =    5                            cos          120                ∘            =        5    ×    -          1      2        =    -          5      2      and       y    =    5                            sin          120                ∘            =        5    ×                  3            2        =          5      2              3

How to express the complex number in rectangular form: z = 5 ( cos 120...

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