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Finding Roots from Trig Form. Thinking Skill: Explicitly assessing information and drawing conclusions. Warm-Up: Simplify. Find all the answer of these equations using algebra. x 2 +1= 0 x 4 – 1= 0 . n th Roots of a Complex Number.
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Finding Roots from Trig Form Thinking Skill: Explicitly assessing information and drawing conclusions. Warm-Up: Simplify
Find all the answer of these equations using algebra. x2+1= 0 x4 – 1= 0
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
Example: Find the square roots of 16(cos60° +isin60°)
Example Find the cube roots of -27i
Example Solve x6 – 1 = 0
Example Solve x4 + (1 + i ) = 0