misskriss986 misskriss986
  • 21-10-2019
  • Mathematics
contestada

Given w = 1 + i, what is arg (w) and |w|? Explain how you got your answer.

Respuesta :

rani01654 rani01654
  • 25-10-2019

Answer:

arg (w)=π/4 and  |w|=√2

Step-by-step explanation:

If z= x+iy is a complex number, then |z| is given by √ ( x²+y² ).

And the argument (z) is given by Ф = tan⁻¹ ( y/x ) where -π < x < π.

Now, in our case w= 1+i i.e. x=1 and y=1.

Therefore, arg (w) = tan⁻¹ (1/1) = π/4 and |w|=√ ( 1²+1² ) = √2 (Answer)

Answer Link

Otras preguntas

McDonald's sell milkshakes in two sizes a small milkshake contains 300ml and a large milkshake contains 2/3 more, how much does a large milkshake contain?
Which sentence in this excerpt from John Galsworthy's narrative essay "Gone" reflects his view that there is no afterlife? a. A white-washed room, so low that
Which is an example of tuition? A.)finishing a school project on time. B.)knowing something is going to
All living things are made up of two or more cells
45 plus what equals 380
use the percent equation to solve the following problem.Show your work.98 is 35% of what number?
What people were the first to make and use pottery?
explain the relationship between multiplying and dividing by 10, 100 and 1000 and moving the decimal point to the left or to the right
Which gas is the most abundant of the trace gases? nitrogen oxygen argon carbon dioxide
What is the y-coordinate of the solution of the system? {3x+10y=7, x-10y=29}