Project ForgeEngineering Mathematics
Complex Variables
GATE 2019
Medium
The value of the complex number i^(−1/2) (where i=√−1) is
- (1/√2)(1−i)
- B−(1/√2)i
- C(1/√2)i
- D(1/√2)(1+i)
Explanation
i=e^(iπ/2), so i^(−1/2)=e^(−iπ/4)=cos(−π/4)+isin(−π/4)=(1/√2)(1−i).
Source: GATE CH 2019 (2019)
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