Answered

Solve your doubts and expand your knowledge with IDNLearn.com's extensive Q&A database. Our community is ready to provide in-depth answers and practical solutions to any questions you may have.

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 participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. IDNLearn.com has the answers you need. Thank you for visiting, and we look forward to helping you again soon.