- #1
andrey21
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Homework Statement
Hi guys I have been given a question, write down w* in polar form where w=2< -(pi/3). I can work out the question when it is in cartesian form just not this way, any help woud be great.
"Write down w* in polar form" is a mathematical instruction that asks you to express a complex number in polar form. It involves writing the number in terms of its magnitude (or absolute value) and its angle.
To convert a complex number into polar form, you need to first find its magnitude by taking the square root of the sum of the squares of its real and imaginary parts. Then, you can find the angle by taking the inverse tangent of the imaginary part divided by the real part. The polar form will be in the form of (magnitude, angle).
Writing a complex number in polar form can make it easier to perform mathematical operations, such as multiplication and division. It also helps to visualize the number in terms of its magnitude and angle, which can be useful in certain applications.
Yes, a complex number can have multiple polar forms. This is because the angle in polar form is not unique. It can be expressed in degrees or radians, and can have multiple values depending on the quadrant in which the complex number lies.
To simplify a complex number in polar form, you can use basic trigonometric identities to simplify the angle. You can also convert the number back to rectangular form if needed.