8. Write the complex number $Z = 5(cos\frac{\pi}{3} + i sin\frac{\pi}{3})$ in its rectangular form $(a + bi)$.
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In this case, we have: Z = 5(cosθ + i sinθ) where θ is not specified. However, we can use the fact that Z is in the first quadrant (since the real and imaginary parts are both positive) to determine θ: θ = arctan(imaginary part / real part) = arctan(1/1) = Show more…
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