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Formula generator for IMARGUMENT function

The IMARGUMENT function returns the angle (also known as the argument or θ) of the given complex number in radians.

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How to generate an IMARGUMENT formula using AI.

To obtain information on the ARRAY_CONSTRAIN formula, you could ask the AI chatbot the following question: “To get the IMARGUMENT formula, you can ask the AI chatbot the following question: "What is the formula to extract the argument (angle) from a complex number in Excel?"

IMARGUMENT formula syntax

The IMARGUMENT function in Excel is used to extract the argument or angle from a complex number. Its syntax is: IMARGUMENT(inumber) - inumber: This is the complex number from which you want to extract the argument. The IMARGUMENT function returns the argument of a complex number in radians. The argument is the angle between the positive x-axis and the line connecting the origin and the complex number in the complex plane. Note that the IMARGUMENT function returns a numeric value, which represents the angle in radians. To convert it to degrees, you can use the RADIANS function.

Use Cases & Examples

In these use cases, we use the IMARGUMENT formula to calculate the argument of a complex number. The argument represents the angle between the positive real axis and the line connecting the origin to the complex number.

Calculating the angle of a complex number

Description

In this use case, we use the IMARGUMENT function to calculate the angle (argument) of a given complex number in radians.

Result

IMARGUMENT(number)

Finding the average angle of a set of complex numbers

Description

In this use case, we use the IMARGUMENT function along with other functions to find the average angle of a set of complex numbers in radians.

Result

AVERAGE(IMARGUMENT(range))

Determining the quadrant of a complex number

Description

In this use case, we use the IMARGUMENT function along with other functions to determine the quadrant in which a complex number lies.

Result

IF(IMARGUMENT(number) >= 0, IF(IMAGINARY(number) >= 0, 1, 4), IF(IMAGINARY(number) >= 0, 2, 3))

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FAQ

Frequently Asked Questions

  • The IMARGUMENT function in Excel returns the argument theta, which is the angle in radians from the positive x-axis to the line segment that joins the origin to a complex number.
  • The syntax of the IMARGUMENT function is: IMARGUMENT(inumber)
  • The inumber argument is a complex number for which you want to calculate the argument.
  • The IMARGUMENT function returns the argument theta in radians.
  • Yes, the IMARGUMENT function can return a negative value if the angle is in the third or fourth quadrant.