# IMARGUMENT

Formulas / IMARGUMENT
Return the argument of a complex number.
`IMARGUMENT(inumber)`
• inumber - required complex number used to get the argument

## Examples

This example uses the simplest form of the IMARGUMENT function. It takes one argument, which is a cell reference. For example, if cell A1 contains the value "2+i", then the function =IMARGUMENT(A1) will return the angle in radians of the complex number in A1. In this case, the output would be 45 degrees.

This example uses a more complex argument with the IMARGUMENT function. If you want to input a complex number directly into the function, you can use the syntax =IMARGUMENT("2-i"). This will return the angle in radians of the complex number "2-i". In this case, the output would be -135 degrees.

This example shows how you can use exponential notation with the IMARGUMENT function. For example, if you wanted to calculate the argument for the complex number "2e^(iÏ€/3)", the syntax would be =IMARGUMENT("2e^(iÏ€/3)"). This would return the angle in radians of the complex number, which in this case would be 60 degrees.

## Summary

The IMARGUMENT function calculates an angle in radians, given a complex number as an argument.

• The IMARGUMENT function returns an angle, expressed in radians, for a complex number, z, expressed as x + yi.
• The angle is calculated as follows: z = x + yi, where yi is the imaginary component of the complex number.

What is the IMARGUMENT function?
The IMARGUMENT function is a mathematical function that returns the angle argument. The angle argument is an angle expressed in radians, which is useful for calculating complex angles.
What is an angle argument?
An angle argument is an angle expressed in radians. Radians are the standard unit of angle measurement and are used in mathematics to define angles. Radian angles are most commonly used in trigonometry and geometry.
What is the purpose of the IMARGUMENT function?
The IMARGUMENT function is used to calculate complex angles. It is often used in complex mathematical equations, such as those involving trigonometry or calculus.
What are some examples of how the IMARGUMENT function is used?
• The IMARGUMENT function can be used to calculate the angle of a triangle.
• The IMARGUMENT function can be used to calculate the angle of a circle.
• The IMARGUMENT function can be used to calculate the angle of an ellipse.
• The IMARGUMENT function can be used to calculate the angle of a parabola. 