LenoraS280863 LenoraS280863
  • 03-11-2022
  • Mathematics
contestada

Select the correct answer.6cis5pi/6Convert57to rectangular form.OA. 3V3 + 31O B. –313 + 3iO C. 373 – 3iOD. -3V3 – 31O E. 3 – 3731

Respuesta :

JaxinW756715 JaxinW756715
  • 03-11-2022

Answer:

Choice B.

Explanation:

The equation can be rewritten as

[tex]6\text{cis}\frac{5\pi}{6}=6\cos \frac{5\pi}{6}+i\sin \frac{5\pi}{6}[/tex]

Now since

[tex]6\cos \frac{5\pi}{6}=-3\sqrt[]{3}[/tex]

and

[tex]6\sin \frac{5\pi}{6}=3[/tex]

the expression becomes

[tex]-3\sqrt[]{3}+3i[/tex]

Hence, choice B is the correct answer since it matches the answer we got above.

Answer Link

Otras preguntas

A coin flipped 80 times it lands on tails 47 times. What’s the probability lands on heads
What comic section is represented? Explain
Blood alcohol concentrations (BAC) is not determined by how much a person weighs. a.True b.False
Identify the vertex of each parabola. Tell whether it is minimum or maximum. PLEASE HELP!!!
Who can amend the daily floor sessions
Limiting reactants Aqueous sulfuric acid (H,SO) will react with solid sodium hydroxide (NaOH) to produce aqueous sodium sulfate (Na₂SO) and liquid water (H₂O).
28-day-cycle schedules are subdivided into four groups___________
How do you assess the competitive landscape and identify your unique value proposition?
Amy is a 9 year old patient who has a high fever, headache and an itchy rash. Although Amy usually has a good appetite, her mother says she has not been hungry
Factor this expression 3x^2-12x