brianluong00
brianluong00 brianluong00
  • 23-11-2017
  • Mathematics
contestada

Express the complex number -3i in trigonometric form.

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tynollette tynollette
  • 23-11-2017
Use the formula z=a+bi=|z|(cosθ+isinθ), with |z|=√(a²+b²), and tanθ=b/a

in this case, a=0, b=-3 so 
|z|=√0²+(-3)²)=3
tanθ=[tex] \frac{-3}{0} [/tex], notice the denominator is 0, undefined, so the value of θ=π/2
Substitute the values of θ=π/2 and |z|=3. into the formula, you'll get 3(cos([tex] \frac{ \pi }{2} [/tex])+isin([tex] \frac{ \pi }{2} [/tex]))
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kyonmjkyon234567
kyonmjkyon234567 kyonmjkyon234567
  • 17-05-2020

Answer:

b. 3(cos 270° + i sin 270°)

Step-by-step explanation:

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