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sweet [91]
3 years ago
11

Express the complex number in trigonometric form. -4i

Mathematics
1 answer:
jeka57 [31]3 years ago
3 0

Answer:

-4i =  4(cos 270 +i sin 270)

Step-by-step explanation:

We have a+ib = r(cosθ+isinθ)

r=\sqrt{a^2+b^2}\texttt{ and }tan\theta =\frac{b}{a}

Here a = 0  and b = -4

Substituting

       r=\sqrt{0^2+(-4)^2}\\\\r=4\\\\tan\theta =\frac{-4}{0}\\\\\theta =270^0\texttt{(Since a is zero and b is negative)}

-4i =  4(cos 270 +i sin 270)

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