express i9 +i10+ i11+i12 in the form of a+ib
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27
Answer:
0
Step-by-step explanation:
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Answered by
5
Answer:
The correct answer is 0+i0
Step-by-step explanation:
Given: i9 +i10+ i11+i12
To find: express the given equation in a+ib
We know that,
i0=1, i6=-1
i1=i, i7=-i
i2=-1, i8=1
i3=-i, i9=i
i4=1, i10=-1
i5=i, i11=-i
=(i3)3 + (i5)2 + (-1) + (-i) + (1)
=(-i) + 2i -1 -i +1
=-2i +2i -1 +1
=0i +0
So, the correct answer after solving is 0i +0 which is in the form of a+ib
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