SOLUTION: Convert -√3- i to polar form thanks in advance for helping me

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Question 1172294: Convert -√3- i to polar form
thanks in advance for helping me

Found 2 solutions by Solver92311, ikleyn:
Answer by Solver92311(821)   (Show Source): You can put this solution on YOUR website!


If , then where and .

For your problem, and .

Hint: , which is to say "the angle whose tangent is "

John

My calculator said it, I believe it, that settles it

From
I > Ø

Answer by ikleyn(52848)   (Show Source): You can put this solution on YOUR website!
.

The polar form is   = r * ( cos(a) + i*sin(a) ),

where "r" is the polar radius and "a" is the polar angle.
.


So, our goal is to find the polar radius r and the polar angle "a".



    r =  =  =  =  = 2.


    tan(a) =  =  =  = .



Therefore,  a =     ( taking into account that the angle "a" is in QIII ).



Thus the polar form is, finally,   =  = (2, ) = .    ANSWER

Solved.

----------------

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    - Complex plane
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    - Raising a complex number to an integer power
    - How to take a root of a complex number
    - Solution of the quadratic equation with real coefficients on complex domain
    - How to take a square root of a complex number
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