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Finding Roots from Trig Form

Enhance your skills in explicitly assessing information and drawing conclusions by simplifying equations using algebra and solving for nth roots of complex numbers.

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Finding Roots from Trig Form

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  1. Finding Roots from Trig Form Thinking Skill: Explicitly assessing information and drawing conclusions. Warm-Up: Simplify

  2. Find all the answer of these equations using algebra. x2+1= 0 x4 – 1= 0

  3. nth Roots of a Complex Number For a positive integer, n, the complex number z = r(cosθ + i sinθ) has exactly n distinct nth roots given by

  4. Example: Find the square roots of 16(cos60° +isin60°)

  5. Example Find the cube roots of -27i

  6. Example Solve x6 – 1 = 0

  7. Example Solve x4 + (1 + i ) = 0

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