In polar form the expression is ( 14 , 30 )
How the rectangular form is converted to Polar form ?
To convert the expression x +iy to polar form ( r , [tex]\rm \theta[/tex] ) , the standard equations used are
r = [tex]\rm \sqrt {x^2 + y^2}[/tex]
tan [tex]\rm \theta[/tex] = y/x
The given expression is
7 √3 - 7i
x = 7 √3
y = -7
r = [tex]\rm \sqrt {(7\sqrt{3})^2 +(-7)^2}[/tex]
r = √196
r = 14
tan [tex]\rm \theta[/tex] = (-7)/(7√3)
[tex]\rm \theta[/tex] = 30 degree
Therefore in polar form the expression is ( 14 , 30 ).
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