Expressing a Complex Number in Trigonometric or Polar Form (8.5.2)

Question 1

• To express a complex number z in trigonometric form or polar form:
  
  • Start by sketching the complex number.
  • Find r, the absolute value, and θ, the angle from the x-axis.
  • Plug these values into the polar form: z = r(cosθ + isinθ ).

Answer 1

• To express a complex number z in trigonometric form or polar form:
  
  • Start by sketching the complex number.
  • Find r, the absolute value, and θ, the angle from the x-axis.
  • Plug these values into the polar form: z = r(cosθ + isinθ).

Question 2

• Review: The standard form of a complex number z follows the formula: z = x + yi.

Answer 2

• Review: The standard form of a complex number z follows the formula: z = x + yi.