What does the import math statement accomplish in a Python script?

The import math statement in a Python script accomplishes the task of importing a library of mathematical functions into the current namespace, allowing the programmer to access and use a variety of pre-defined mathematical operations. By executing this statement, the script gains access to built-in functions such as sin(), cos(), tan(), log(), and many others that are provided by the math module.

This library is particularly valuable because it offers not only basic arithmetic functions but also more complex mathematical operations and constants, significantly enhancing the capabilities of the script related to mathematical calculations. By using the module, developers can leverage these functions without needing to redefine them, thereby promoting code reuse and maintaining cleaner, more efficient code.

The other choices do not accurately represent the function of the import statement; for instance, it does not create a new file or module but rather links to existing functions and constants within the established math module provided by Python.