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

what is the coefficient constant and factor of 5x^2 3x 12
60,488 rounded nearest ten thousand
Because the Cold War relied so much on intelligence gathering and covert military actions, leaders often felt the need to conceal information from Congress and
write 171 miles in 3 hours as a unit rate
Tim count his friends fingers by five. He count six hands. What number does he say?
These items are involved in sexual reproduction. Which one of these may also be involved in asexual reproduction? A. eggs B. spores C. sperm D. seeds
33. what is a renewable resource? give an example.
how do you change 65/117 to simplest form
what is the slope intercept form of the equation of the line 5x-6y=36
simplify (3x − 5) (3x 6).