grantgeronimo grantgeronimo
  • 03-09-2018
  • Mathematics
contestada

Find the product of the complex numbers. Express your answer in trigonometric form. z1 = 5(cos(25) + isin(25)) z2 = 2(cos(80) + isin(80))

Respuesta :

nuuk nuuk
  • 12-09-2018

solution:

Z1 = 5(cos25˚+isin25˚)

Z2  = 2(cos80˚+isin80˚)

Z1.Z2  = 5(cos25˚+isin25˚). 2(cos80˚+isin80˚)

Z1.Z2  = 10{(cos25˚cos80˚ + isin25˚cos80˚+i^2sin25˚sin80˚) }

Z1.Z2  =10{(cos25˚cos80˚- sin25˚sin80˚+ i(cos25˚sin80˚+sin25˚cos80˚))}

(i^2 = -1)

Cos(A+B) = cosAcosB – sinAsinB

Sin(A+B) = sinAcosB + cosAsinB

Z1.Z2 = 10(cos(25˚+80˚) +isin(25˚+80˚)

 Z1.Z2     = 10(cos105˚+ isin105˚)


Answer Link

Otras preguntas

Type the integer that makes the following subtraction sentence true: – 7 = -3
Help geometry must show steps
It is desirable, but not necessary, that sample sizes be equal in a one-factor anova. a. True b. False
How does percy convince the guard at the empire state building to let him see zeus?
Which best describes the formula for the perimeter of a rectangle? A. It’s twice the length plus the width. B. P = 2l + 2w is the perimeter of a
suppose you deposit $25,000 in to a fund for which the annual interest rate is 5.3% compounded continuously. find the number of years it will take to double in
Which action should you take when sending a large attachment?
what is the value of x? Updated
Describe what happened to george washington crossing delaware river
Which is an example of internal conflict