![]() ![]() Here is a 50‐digit approximation of the sine function at the complex argument. The next input calculates 10000 digits for and analyzes the frequency of the digit in the resulting decimal number. Within a second, it is possible to calculate thousands of digits for the sine function. The next inputs calculate 100‐digit approximations at and. Here are three examples: CForm, TeXForm, and FortranForm.Īutomatic evaluations and transformationsĮvaluation for exact, machine-number, and high-precision argumentsįor the exact argument, Mathematica returns an exact result.įor a machine‐number argument (a numerical argument with a decimal point and not too many digits), a machine number is also returned. Mathematica also knows the most popular forms of notations for the sine function that are used in other programming languages. This shows the sine function in TraditionalForm. This shows the sine function in StandardForm. These involve numeric and symbolic calculations and plots.įollowing Mathematica's general naming convention, function names in StandardForm are just the capitalized versions of their traditional mathematics names. Examples of evaluating Mathematica functions applied to various numeric and exact expressions that involve the sine function or return it are shown. ![]() The following shows how the sine function is realized in Mathematica. Introduction to the Sine Function in Mathematica ![]()
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