foryaya foryaya
  • 13-04-2016
  • Mathematics
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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))
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