This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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To find the real and imaginary parts of a complex number , the real part is and the imaginary part is .
i) Step 1: Identify the real and imaginary components. The real part is the term without . The imaginary part is the coefficient of . Real part: Imaginary part:
ii) Step 1: Identify the real and imaginary components. Real part: Imaginary part:
iii) Step 1: Identify the real and imaginary components. Real part: Imaginary part:
iv) Step 1: Identify the real and imaginary components. Note that is equivalent to . Real part: Imaginary part:
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You're on a roll — To find the real and imaginary parts of a complex number z = a+bi, the real part is a and the imaginary part is b.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.