Answered

IDNLearn.com provides a user-friendly platform for finding answers to your questions. Ask anything and receive immediate, well-informed answers from our dedicated community of experts.

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 PlaneRound Your Answer If Necessary To The Nearest Thousandth Express 0 Between T And T class=

Sagot :

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

[tex]\theta=\arctan (\frac{\operatorname{Im}(z)}{\operatorname{Re}(z)})\text{.}[/tex]

In this case:

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

Therefore:

[tex]\theta=\arctan (\frac{-9}{8})\approx-0.844.[/tex]

Answer:

[tex]\theta=-0.844.[/tex]

We value your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. IDNLearn.com has the solutions to your questions. Thanks for stopping by, and come back for more insightful information.