Question

Write the equation of the trigonometric graph. Try fractional values or pie for thebox next to X.

Answer 1

Given:

Required:

To write an equation of the graph.

Step-by-step explanation:

The standard equation is given in the form of as:

`y=acosbx+c`

Where a = amplitude

c = displacement

and

`b=(2\pi)/(period)`

From the graph, we can observe that

a = 5

Period =

`2\pi`

c =6

`\begin{gathered} b=(2\pi)/(2\pi) \\ b=1 \end{gathered}`

Substitute these values in the equation.

`y=5cos(1)x+6`

Final answer:

The equation becomes:

`y=5cosx+6`