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The development of modern trigonometry shifted during the western Age of Enlightenment, beginning with 17th-century mathematics (Isaac Newton and James Stirling) and reaching its modern form with Leonhard Euler (1748).
Some Real-Life Applications of. Rational Functions. There are many situations in the real world where an application of a rational function is used as a representation. There are three well-known situations that follow under this category of rational functions.alculating pH with a logarithmic function. A logarithmic function can be used to calculate the pH of a substance based on the concentration of hydrogen ions. This is the logarithmic equation that is used for determining pH.