Question

Write a cosine function for the graph.

Answer 1

The correct option A: y = -4 cos Ф/4, is the cosine function for the graph.

Define the term cosine function?

The ratio between the angle's adjacent leg and the hypotenuse when it is regarded as a leg of a right triangle is a trigonometric function for an acute angle.

• One of the three fundamental trigonometric functions, cosine is the complement of sine (co+sine) and one of the three main trigonometric functions.

1. Y=cos(x) has its greatest value when x = 2nπ, wherein n is an integer.
2. Y=cos(x) has a lowest value for x=  π+2nπ , wherein n is an integer.

For the given graph,

cosine function:  y = -4 cos Ф/4.

In which, -4 is the amplitude (maximum displacement from the x axis).

Negative sign shows, the displacement is taken along negative y-axis.

And,  Ф/4 is the phase angle.

Thus, the cosine function for the graph is  y = -4 cos Ф/4.

To know more about the cosine function, here

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