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Question: The amplitude of \(- \frac{\pi}{2}\) is....

The amplitude of −π2- \frac{\pi}{2} is.

A

zz

B

Re(z)<0{Re}(z) < 0

C

arg(z)arg(z)

D

None of these

Answer

zz

Explanation

Solution

x+iy=a+ibc+idx−iy=a−ibc−idx + iy = \sqrt{\frac{a + ib}{c + id}}x - iy = \sqrt{\frac{a - ib}{c - id}}

x2+y2=(x+iy)(x−iy)=a2+b2c2+d2x^{2} + y^{2} = (x + iy)(x - iy) = \sqrt{\frac{a^{2} + b^{2}}{c^{2} + d^{2}}}.