Pregunta
The complex number
is given by
, what is
the polar representation of
?
Select one:
a.
b.
c.
d.
the polar representation of
Select one:
a.
b.
c.
d.
Ask by Summers Malone. in Ghana
Mar 15,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The polar representation of
is
.
Solución

¡Inicia sesión para desbloquear respuestas gratis!
Una plataforma de aprendizaje en la que confían millones de estudiantes y profesores reales.

Respondido por UpStudy AI y revisado por un tutor profesional
Como
Beyond the Answer
To find the polar representation of the complex number
, we need to determine its magnitude
and angle
.
-
The magnitude
is given by: -
The angle
is obtained using the arctangent function:
Now, expressing
in polar form:
Therefore, the correct answer is:
d. .
d.
Now, let’s add some fun facts!
In ancient history, the concept of complex numbers was largely ignored until the 16th century when it became useful in solving cubic equations. Mathematicians like Gerolamo Cardano began incorporating imaginary numbers into their calculations, paving the way for modern mathematics!
Want to impress your friends? Try explaining that complex numbers have real-world applications in electrical engineering! Engineers use them to analyze AC circuits by representing voltage and current as complex numbers, making it easier to understand phase differences and oscillations! Who knew math could be so cool?

¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde
Hazte Premium