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Find the complex fourth roots of 81(cos(3pi/8) + i sin(3pi/8)).
part I: find the fourth root of 81.
part II: divide the angle in the problem by 4 to find the first argument.
part III: Use the fact that adding 2pi to the angle 3pi/8 produces the same effective angle to generate the other three possible angles for the fourth roots. be sure that your angles lie between 0 and 2pi.
Part IV: Find all four of the fourth roots of 81(cos(3pi/8)+isin(3pi/8)). express your answers in polar (r(costheta+isintheta)) form.
Sagot :
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