Find the modules of 1/1+i
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Sia ? 4 years ago
Let a complex number (z) = 1/1+i
%7D%7B(1%2Bi)(1-i)%7D%20%5C%5C%20z%3D%20%5Cfrac%7B1-i%7D%7B%201%5E%7B2%7D%20-%20i%5E%7B2%7D%20%7D%20%5C%5C%20z%3D%20%5Cfrac%7B1-i%7D%7B1-(-1)%7D%20%3D%20%5Cfrac%7B1-i%7D%7B1%2B1%20%7D%20%5C%5C%20z%3D%20%5Cfrac%7B1-i%7D%7B2%7D)
%5E%7B2%7D%20%2B%20(1%2F2)%5E%7B2%7D%20%7D%20%5C%5C%20%7Cz%7C%3D%20%5Csqrt%7B%20%5Cfrac%7B2%7D%7B%202%5E%7B2%7D%20%7D%20%7D%20%3D%20%5Cfrac%7B1%7D%7B%20%5Csqrt%7B2%7D%20%7D)
now,
z = 1/2 -i/2
so real part of z = x = 1/2
Imaginary part of z = y = 1/2
∴
Argument = tan⁻¹(y/x)
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