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

An ant sits on the back of a mouse. The mouse carries the ant across the floor for a distance of 10 meters. Was there work done by the mouse? Explain.
what are some reasons for limiting authority
What is the size and shape of a super volcano?
1. What is the respiratory structure of a millipede? A. book lungs B. tracheal tube C. gill slits 2. what is the respiratory structure of a spider? A. gills B.
How can b^2+9b+14 be re-written?1) (b+7) (b-7)2) (b-7) (b-2)3) (b+7) (b-2)4) (b+7) (b+2)
Using the equation y=ax^2+bx+c to represent a parabola on a graph, which statement is true?1) If b is negative, the parabola opens downward2) If a is negative,
Which of the following is equivalent to 3a + 4b – (–6a – 3b) ? A. 16ab B. –3a + b C. –3a + 7b D. 9a + b E. 9a + 7b
What is the purpose of sensory adaptation
What do Frederick Douglass' words "America reigns without a rival" mean?
Help??? What is 3x+5x=67y?