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If arg(z(1))=(2pi)/3 and arg(z(2))=pi/2,...

If `arg(z_(1))=(2pi)/3 and arg(z_(2))=pi/2`, then find the principal value of `arg(z_(1)z_(2))` and also find the quardrant of ` z_(1)z_(2)`.

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To solve the problem, we need to find the principal value of the argument of the product of two complex numbers \( z_1 \) and \( z_2 \) given their arguments. ### Step-by-Step Solution: 1. **Given Values**: - \( \arg(z_1) = \frac{2\pi}{3} \) - \( \arg(z_2) = \frac{\pi}{2} \) ...
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