Find the values of the expressions i30 + i80 + i120

Find the values of the expressions i30 + i80 + i120

Asked by Sakshi | 1 year ago |  74
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Class 11 Maths Complex Numbers and Quadratic Equations         Add Answer

1 Answer

Solution :-

 i30 + i80 + i120

Let us simplify we get,

i30 + i80 + i120 = i(28 + 2) + i80 + i120

= (i4)7 × i2 + (i4)20 + (i4)30

= – 1 + 1 + 1 [since i4 = 1, i2 = – 1]

= 1

i30 + i80 + i120 = 1

Answered by Aaryan | 1 year ago
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