eiaW8infYokochr
eiaW8infYokochr eiaW8infYokochr
  • 15-08-2016
  • Mathematics
contestada

Find (–1 –i sqrt(3))^10 .Express in rectangular form.

Respuesta :

HomertheGenius
HomertheGenius HomertheGenius
  • 18-08-2016
z = - 1 - i√3
x = - 1, y = -√3
r = |z| = √ ( -1)² + (-√3)² = √( 1 + 3 )= √4 = 2
Ф = arc tan ( -√3/-1 ) = arc tan (√3 ) = 60° = π/3 
r ^n ( cos nФ + i sinФ ) = 2^10 ( cos (10π/3) + i sin (10π/3) )=
= 2^10( -1/2 - i √3/2 ) = 2^9( - 1 - i √3 )
Answer Link

Otras preguntas

What is the answer to 7n-2(n+5)< 3n-16
Okay Here Is The Question Its 3 Parts:How Far Is The Sun From Earth?There Are 3 Feet In A Yard. How Many Yards Is The Sun From The Earth? Explain How.There Are
Put these in order from least to greatest 6.4 kg 640 g 600,000 mg
If you have 12 circles an you shade in3/4 of them, how many circles do you shade?
How do u add 10 to 2 digits numbers
what is the function of flagella??
Okay Here Is The Question Its 3 Parts:How Far Is The Sun From Earth?There Are 3 Feet In A Yard. How Many Yards Is The Sun From The Earth? Explain How.There Are
What is the minimum value an eccentricity can be?
what country did hernando de soto work for?
3n-5=-8(6+5n) SOLVE