You are watching: Find the fourth roots of 16(cos 200° + i sin 200°).
In this case, n = 4.
Therefore, we readjust the polar equation we are given and also modify it to be fixed for the roots.
Part 2: resolving for source #1
To settle for root #1, do k = 0 and substitute every values right into the equation. ~ above the 2nd step, transform the measure in levels to the measure up in radians by multiplying the degrees measurement by
Part 3: fixing for source #2
To deal with for root #2, follow the very same simplifying steps over but change k to k = 1.
Part 4: solving for source #3
To fix for root #3, monitor the exact same simplifying steps above but readjust k to k = 2.
Part 4: fixing for source #4
To deal with for root #4, monitor the exact same simplifying steps above but readjust k come k = 3.
The fourth roots of 16(cos 200° + i(sin 200°) are noted above.
Answer from: AdiGirlBrainly
The 4th roots the 16(cos 200° + ns sin 200°) space .
The given expression is
Using deMoivre\"s Theorem
The four roots space in the form of
Therefore the 4th roots that 16(cos 200° + ns sin 200°) are .
Answer from: JaredO
y=2(cos(50=90n)=isin(50+90n))take n=0 ,y=2(cos(50)+isin(50)) take n=1,y=2(cos(140)+ isin (140))take n=2,y=2(cos(230)+ isin (230)) take n=3,y=2(cos(320)+isin(320))
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