AllShawn
AllShawn AllShawn
  • 08-03-2022
  • Mathematics
contestada

Find the quotient of z1 by 22. Express your answer in trigonometric form
HELP ASAP

Find the quotient of z1 by 22 Express your answer in trigonometric form HELP ASAP class=

Respuesta :

LammettHash
LammettHash LammettHash
  • 08-03-2022

Condense z₁ and z₂ into their exponential forms:

z₁ = 3 (cos(π/4) + i sin(π/4)) = 3 exp(i π/4)

z₂ = 7 (cos(3π/8) + i sin(3π/8)) = 7 exp(i 3π/8)

Then the quotient of z₁ and z₂ is

z₁ / z₂ = 3/7 exp(i (π/4 - 3π/8)) = 3/7 exp(-i π/8)

and in trigonometric form,

z₁ / z₂ = 3/7 (cos(-π/8) + i sin(-π/8))) … … … D

Answer Link

Otras preguntas

Consider what would happen to a diploid plant when genes are destroyed by a mutation. How many genes would have to be destroyed in a diploid plant for one trait
What is the term for a government that exerts complete power over the population, even controlling their thoughts and most intimate private lives?
I had gotten this one wrong so I was wondering can someone help me..​
what are the levels of organization systems from simple to complex?
graph each equation by using the x and y intercepts. y = 4 + x
What is the ancestor of st Bernadette?
Let f(x) be defined for any positive integer x greater than 2 as the sum of all prime numbers less than x. For example, f(4)=2+3=5 and f(8)=2+3+5+7=17. What is
What are rules for transformations and how do they work
According to Jackson, the crisis might result in (check all of the boxes that apply) A. The union breaking apart B. the use of military force C. The continued
Tectonic Theory question​