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z= 8 - 9iFind the angle (in radians) that makes in the complex plane.Round your answer, if necessary, to the nearest thousandth. Express 0 between -T and T.

z= 8 - 9iFind the angle (in radians) that makes in the complex plane.Round your answer-example-1
User Washu
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1 Answer

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To answer this question we will use the following formula for the angle corresponding to a complex number z:


\theta=\arctan (\frac{\operatorname{Im}(z)}{\operatorname{Re}(z)})\text{.}

In this case:


\begin{gathered} \operatorname{Re}(z)=8, \\ \operatorname{Im}(z)=-9. \end{gathered}

Therefore:


\theta=\arctan ((-9)/(8))\approx-0.844.

Answer:


\theta=-0.844.

User Noam Ban Ishay
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