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

0.3 ÷ 42 Will someone please help me with the method on how to do this it is very hard.
What is the greatest common factor of 5 and 8
Cavendish carried out a second experiment to test the properties of the hydrogen gas produced in the experiment. Was this experiment also a chemical reaction? E
i need help on this i dont get it and i need to bring my homework by tomorrow
The level of water in an olympic size swimming pool (50.0 meters long, 25.0 meters wide, and about 2.00 meters deep) needs to be lowered 3.00 cm. If water is pu
This is any chemical substance that an organism requires to live and grow. Example: carbohydrates
Read the sentence. The famous Battle of Shiloh was fought in the southern state of tennessee. Which change should be made to the capitalization in the sentenc
The answer to the question
The total hotel bill was $659 the cost of the airfare was $633 use mental math to find the total
N/4 < -1 on a number line -10x>-100 on a number line 5x>20 on a number line