What is the angle of a complex number?

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In summary, A complex number has a real part and an imaginary part. To find the angle of a complex number, you need to use the formula tan(\theta)= \frac{Im(z)}{Re(z)} = \frac{b}{a}, where a is the real part and b is the imaginary part. You can learn more about complex numbers and how to calculate their angles in the article provided.
  • #1
l2udolph
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Help me please. I'm not sure how to do this.. Can you tell me about imaginary numbers?
I'm supposed to calculate the angle of z=6-5i
How do I do this?
 
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  • #2
l2udolph said:
Help me please. I'm not sure how to do this.. Can you tell me about imaginary numbers?
I'm supposed to calculate the angle of z=6-5i
How do I do this?

Actually, that is a complex number, with real and imaginary parts. This article should help you figure out how to find the angle between the complex number vector and the x-axis:

http://en.wikipedia.org/wiki/Complex_numbers

.
 
  • #3
The "angle" of a complex number, z, more commonly called its "argument", is the angle the line from 0 to z, in the complex plane, makes with the positive real axis.
[tex]tan(\theta)= \frac{Im(z)}{Re(z)}[/tex]
 

FAQ: What is the angle of a complex number?

What does "calculate the angle of" mean?

"Calculate the angle of" is a mathematical phrase that refers to finding the measure of an angle in a geometric shape or object. It involves using known information about the shape or object to determine the value of an angle.

How do you calculate the angle of a triangle?

The angle of a triangle can be calculated using the trigonometric functions of sine, cosine, and tangent. You can also use the Pythagorean theorem or the law of cosines to find the angle depending on the given information about the triangle.

Can you calculate the angle of a circle?

No, a circle does not have angles as it is a curved shape. However, you can calculate the angle of a sector or an arc in a circle if you know the radius and the arc length.

What is the unit of measurement for angles?

The most common unit of measurement for angles is degrees (°). However, you can also use radians (rad) or gradians (gon) depending on the context of the problem. Degrees are typically used in everyday situations, while radians are more commonly used in mathematics and science.

How do you calculate the angle of rotation?

The angle of rotation can be calculated by finding the difference between the initial position and the final position of an object. This can be done using geometric principles or by using a protractor to measure the angle of rotation directly.

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