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Derivative of Cosine

Description

This equation shows that the derivative of cosine \((\htmlClass{sdt-0000000124}{\cos}(\htmlClass{sdt-0000000003}{x}))\) is the negative of sine \((-\htmlClass{sdt-0000000127}{\sin}(\htmlClass{sdt-0000000003}{x}))\)

\[(\htmlClass{sdt-0000000124}{\cos}(\htmlClass{sdt-0000000003}{x}))\htmlClass{sdt-0000000025}{'} = -\htmlClass{sdt-0000000127}{\sin}(\htmlClass{sdt-0000000003}{x})\]

Symbols Used:

This is a symbol for any generic variable. It can hold any value, whether that be an integer or a real number, or a complex number, or a matrix etc.

\( ' \)

This is the symbol for the derivative of a function. If \(f(x)\) is a function, then \(f'(x)\) is the derivative of that function.

\( \cos \)

This is the symbol for cosine, a trigonometric function that calculates the ratio of the adjacent side to the hypotenuse of a right-angled triangle.

\( \sin \)

This is the symbol for sine, is a trigonometric function that represents the ratio of the opposite side to the hypotenuse in a right-angled triangle.