In mathematics, a Laurent series is an expansion of a function as a sum of positive and negative powers of (z – c), where c is a complex number. It is a generalization of the Taylor series, which only contains positive powers of (z – c). Laurent series are useful for representing functions that have singularities at isolated points.
To determine the Laurent series of a function, we can use the following steps:
The arcsine function, denoted as arcsin(x), is the inverse function of the sine function. It gives the angle whose sine is x. The domain of the arcsine function is [-1, 1], and its range is [-/2, /2].
The arcsine function is important in many applications, such as trigonometry, calculus, and physics. It is used to find the angle of incidence of a light ray on a surface, the angle of elevation of an object, and the angle between two vectors.
The arccosine function, denoted as arccos(x), is the inverse function of the cosine function. It gives the angle whose cosine is x. The domain of the arccosine function is [-1, 1] and its range is [0, ].
The graph of the arccosine function is a curve that starts at the point (-1, ) and ends at the point (1, 0). The curve is symmetric about the y-axis.
In Google Sheets, a function is a formula that performs a specific calculation or action on a given set of data. Functions can be used to perform a wide variety of tasks, from simple arithmetic operations to complex financial calculations. By default, functions in Google Sheets are limited to a single line of text. However, it is possible to create functions that span multiple lines by using the `JOIN` function.
The `JOIN` function concatenates multiple text strings into a single string. It can be used to combine the results of multiple functions, or to create a multi-line function. For example, the following function returns the current date and time on two separate lines:
