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

Which was not a cause of the gradual decline and fall of the Western Roman Empire? the spread of Christianity economic hardships for Rome''s citizens invading b
Which activity produces the smallest amount of greenhouse gases?
an apple orchard sells apples in bags of 10 the orchid sold a total of 2430 apples one day how many bags of apples was this
why is 24 a more convenient choice than 23 or 25
Annie traveled 5 times the sum of the number of hours Brian traveled and 2. together they traveled 20 hours. find the number of hours each person worked.
expanded form for 39,005
does the equator cross the Northern or Southern part of South America
the anti-federalist pushed for ?
how can u show that two objects are proportional using a graph
How is the document called the Declaration of Sentiments like the Declaration of Independence? a. Both were designs for a new form of government. b. Both list