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Find the complex fourth roots of 81(cos(3π/8)+isin(3π/8)).

a) Find the fourth root of 81.

b) Divide the angle in the problem by 4 to find the first argument.

c)Use the fact that adding 2π to the angle 3π/8 produces the same effective angle to generate the other three possible angle for the fourth roots.

d) Find all four of the fourth roots of 81(cos(3π/8)+isin(3π/8)). express your answer in polar form.

 Aug 1, 2020
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a) The fourth root of 81 is 3 because 3 to the fourth power is 81.

 Aug 1, 2020

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