Question

3+4i convert into polar form

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Answer 1

Answer:

Since a = 3 > 0, use the formula θ = tan- 1(b / a). Note that here θ is measured in degrees. Therefore, the polar form of 3 - 4i is about 5[ cos(53.13o) + i sin(53.13o) ].

Answer 2

Step-by-step explanation:

Let

3+4i

=

x

+i

y

Then (

3+4i

)

2

=(

x

+i

y

)

2

⇒3+4i=x−y+2i

xy

Comparing real part and imaginary part, we get

3=x−y and 2

xy

=4⇒xy=4

∴x+y=±5 ( As x



=−5;

x

is real part )

∴x=4,y=1⇒

x

=±2,y=±1

Hence square root is ±(2+i)