foryaya foryaya
  • 13-04-2016
  • Mathematics
contestada

PLS HELPPP
Express the complex number in trigonometric form.

3 - 3i

Respuesta :

Panoyin
Panoyin Panoyin
  • 13-04-2016
z = a + bi
z = 3 - 3i

      |z| = √(a² + b²)
|3 - 3i| = √(3² + 3²)
|3 - 3i| = √(9 + 9)
|3 - 3i| = √(18)
|3 - 3i| = √(9 × 2)
|3 - 3i| = √(9)√(2)
|3 - 3i| = 3√(2)

tanΘ = b/a
tanΘ = ⁻³/₃
tanΘ = -1

Θ = arctan(-1)
Θ ≈ -0.8

z = 3√(2)(cos(-0.8) + i sin(-0.8))
Answer Link

Otras preguntas

Using context clues, which is the meaning of "stupefaction"
Which is an example of biodiversity contributing to the sustainability of an ecosystem?
force f is separated ingto two , components, p and q, which are at a right angle to each other. what are the values of p and q?
How do the death rates of men with alcoholism in their 50s and early 60s compare with the death rate for non-alcoholics?
Which of these poems is not an epic?
A system absorbed 44 joules of heat from its surroundings. After doing work, the increase in the internal energy of the system is 32 joules. How much energy was
X power 2 + 11x+30=0
I need to know how to do this please?
Perform the following division: 3 3/4 ÷ 2/8 A. 21/2 B. 15 C. 83/4 D. 12
What is it called when a poet directly addresses a person or thing that cannot respond?