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Q 40 ,ans in English
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4 stepsHere's the solution for question 40:
Identify the complex number.
The complex number is .
In the form , we have and .Determine the position of the complex number on the complex plane.
Since the real part and the imaginary part , the complex number lies on the negative imaginary axis.
Calculate the amplitude (argument).
For a complex number , the argument is the angle it makes with the positive real axis.
When lies on the negative imaginary axis, the angle is (or ). The principal argument is typically in the range .
Therefore, .Match the result with the given options.
The calculated amplitude is , which corresponds to option (B).
The final answer is .
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