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Hipparchus (c. 190 120 bc) was the first to construct a table of values for a trigonometric function.
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They probably do not even know what to do when they are instructed to find the derivative of a trigonometric function as they opt for using reciprocals and identities.
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For instance, Ptolemy's table of the lengths of chords in a circle is the earliest surviving table of a trigonometric function.
For practical usage, a trigonometric function approximation expression for the cnoidal function is provided with brief verification.
In this recently developed theory, an exponential formula in combination with a trigonometric function are used for modeling the displacement field.
It is evident that a trigonometric function has the same value for all coterminal angles.
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The treatise contains tables of values for the trigonometric functions (of an arc or angle) computed in intervals of 10 seconds of arc and calculated to 10 decimal places.
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