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Answer :
Final answer:
To calculate the phase angle of a complex number, use the formula arctan(Imaginary Part / Real Part). For Z = -8 - j6, the phase angle is 36.9 degrees. The correct option is b.
Explanation:
To calculate the phase angle of a complex number, we use the formula:
Phase Angle = arctan(Imaginary Part / Real Part)
In this case, the complex number Z = -8 - j6. The real part is -8 and the imaginary part is -6. Plugging these values into the formula, we get:
- Phase Angle = arctan(-6 / -8) = arctan(0.75)
Now, using a calculator, we can determine the value of this angle:
- Phase Angle = 36.87 degrees
Therefore, the correct answer is b. 36.9 degrees.
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