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  4. Let z be a complex number such that the principal value of argument, arg z > 0. Then arg z - arg (-z) is

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Q. Let z be a complex number such that the principal value of argument, arg z > 0. Then arg z - arg (-z) is

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Solution:

$arg\left(z\right)-arg\left(-z\right) = arg\left(\frac{z}{-z}\right) = arg\left(-1\right) = \pi$