Math Problem Statement
argument de sqrt(3)+i
Solution
To find the argument of the complex number , we can use the formula for the argument:
where is the real part and is the imaginary part of the complex number. Here, and .
Calculating the argument:
Since , we find:
Thus, the argument of is radians.
Do you want more details or have any questions?
Here are some related questions you might consider:
- What is the modulus of the complex number ?
- How do you convert this complex number to polar form?
- What is the geometric representation of in the complex plane?
- How would the argument change if the imaginary part were negative?
- Can you explain the significance of the argument in complex analysis?
Tip: Always remember that the argument is the angle formed with the positive x-axis in the complex plane.
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Math Problem Analysis
Mathematical Concepts
Complex Numbers
Argument of a Complex Number
Trigonometry
Formulas
arg(z) = tan^(-1)(y/x)
Theorems
Inverse Tangent
Suitable Grade Level
Grades 10-12