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The expression which represent the polar form of complex number -4i when converted into the polar form is 4(cos π+ isin π)
<h3>What is complex number?</h3>
A complex number is the combination of real and imaginary number. In a complex number, real part and imaginary part of number is written together. For example,
a+bi
Here, (a) is the real part while (b) is the imaginary part.
The complex number which need to convert into its polar representation is,
n=-4i
It can be rewritten as,
n=0-4i
The radius r of the polar form is,
r²=0²+(-4)²
r²=0+16
r=4
The value of cos theta is,
tan θ=0/-4
θ=tan⁻¹(0)
θ=π
Thus, the polar form is,
z=rcos θ+(r sin θ)i
z=-4(cos π+ isin π)
Thus, the expression which represent the polar form of complex number -4i when converted into the polar form is 4(cos π+ isin π)
Learn more about the complex number here;
brainly.com/question/2218826
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