Graphs of Trigonometric Functions Formula

Trigonometry is not only related to ratio triangles. It is about ratios and we can plot graphs with these ratios. Trigonometry graphs are periodic, that means that the graph repeats after a certain amount of time. These functions can be used if there is a regular occurrence of something, for example, the rotation of the earth, tides, temperature etc.

Graphs of Trigonometric Functions

Graphs of Trigonometric Functions

The general form of the sine function is:

\(\begin{array}{l}\LARGE y = A \; \sin(Bx-C) + D\end{array} \)

\(\begin{array}{l}\large Amplitude \; = \; A\end{array} \)

\(\begin{array}{l}\large Period \; = \; \frac{2\pi}{|B|}\end{array} \)

\(\begin{array}{l}\large Phase \; Shift \; = \; \frac{C}{D}\end{array} \)

\(\begin{array}{l}\large Vertical \; Shift \; = \; D\end{array} \)

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