Explore Westonci.ca, the premier Q&A site that helps you find precise answers to your questions, no matter the topic. Get expert answers to your questions quickly and accurately from our dedicated community of professionals. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.
Sagot :
I think you mean the complex number
-9 - 9√3 i
This number has modulus
|-9 - 9√3 i| = √((-9)² + (-9√3)²) = √324 = 18
and argument θ such that
tan(θ) = (-9√3) / (-9) = √3
Since -9 - 9√3 i falls in the third quadrant of the complex plane, we expect θ to be between -π and -π/2 radians, so that
θ = arctan(√3) - π = π/3 - π = -2π/3
Then the polar form is
18 (cos(-2π/3) + i sin(-2π/3))
and -2π/3 is the same angle as 2π - 2π/3 = 4π/3, so the correct choice is
18 (cos(4π/3) + i sin(4π/3))
Answer:
D.18 (cosine (StartFraction 4 pi over 3 EndFraction) + I sine (StartFraction 4 pi Over 3 EndFraction) )
Step-by-step explanation:
Got it right on Edge 2022
Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.