Question : How to calculate amplitude of a complex number in the following problemSolution :Let the complex number as \[z=i\left(\frac{3+i}{2-i}+\frac{3-i}{2+i}\right)\] simplyfying we get \[z=i\left(1+i+1-i\right)\] or \[z=2i\] writing it as polar form \[z=2\left(\cos{\left(\frac{\pi}{2}\right)}+i\sin{\left(\frac{\pi}{2}\right)}\right) \] So \[Amplitude(z)=\frac{\pi}{2}\] Hence correct option is (1)
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