# 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

The general form of the sine function is:

$\LARGE y = A \; \sin(Bx+C) + D$

$\large Amplitude \; = \; A$

$\large Period \; = \; \frac{2\pi}{|B|}$

$\large Phase \; Shift \; = \; \frac{C}{D}$

$\large Vertical \; Shift \; = \; D$

#### Practise This Question

One hundred identical coins, each with probability p of showing up heads are tossed once. If 0 < p < 1 and the probability of heads showing on 50 coins is equal to that of heads showing on 51 coins, then the value of p is