kairiyoung kairiyoung
  • 25-01-2022
  • Mathematics
contestada

What is the polar form of -3+root3i?

Respuesta :

LammettHash
LammettHash LammettHash
  • 26-01-2022

Compute the modulus and argument:

|-3 + √3 i| = √((-3)² + (√3)²) = √12 = 2√3

arg(-3 + √3 i) = π - arg(3 + √3 i)

… = π - arctan(√3/3)

… = π - arctan(1/√3)

… = π - π/6

… = 5π/6

So, the polar form is

-3 + √3 i = 2√3 (cos(5π/6) + i sin(5π/6))

Answer Link

Otras preguntas

Which factor most greatly limits the power of the US government?
The position of czar was abolished at the end of which war? a. Russo-Japanese War b. World War I c.World War II d.Cold War.
how did geography affect the british advance on Philadelphia.
Turkey became a republic under rule of A: Mustafa Kemal Ataturk B: Reza Pahlavi C: Mohammed Khatami D: Ayatollah Ruhollah Khomeini
What is the solution to the equation 8 - 2b = -2 ___ * (12b + 6) ? 3 b =
why does vegetation grow well in the wet and warm tropical climate
What is the difference between polytheism and monotheism? A. Polytheism is the worship of earth gods. Monotheism is the worship of water gods. B. Polytheism
Which type of blood vessel usually carries oxygen-poor blood? Which type of blood vessel usually carries oxygen-rich blood?
What did Jackson's unofficial cabinet become known as?.
why its important that skull joints cannot move