FS 13.4 and 13.5 review

Front

What is the cosine function?

Back

The cosine function, denoted as cos(x), is a trigonometric function that represents the x-coordinate of a point on the unit circle corresponding to an angle x. It is defined as the adjacent side over the hypotenuse in a right triangle.

Front

Where does the graph of y=sin(x) begin its first cycle?

Back

The graph of y=sin(x) begins its first cycle at the point (0,0).

Front

What is the sine function?

Back

The sine function, denoted as sin(x), is a trigonometric function that represents the y-coordinate of a point on the unit circle corresponding to an angle x. It is defined as the opposite side over the hypotenuse in a right triangle.

Front

What does 'amp: 4' mean in the context of a trigonometric function?

Back

'amp: 4' indicates the amplitude of the function, which is the maximum distance from the center line to the peak (or trough) of the wave. An amplitude of 4 means the function reaches 4 units above and below the center line.

Front

What is the period of a function?

Back

The period of a function is the length of one complete cycle of the function. For sine and cosine functions, the period is typically 2π.

Front

What is the relationship between sine and cosine functions?

Back

Front

What is the maximum value of the sine function?

Back

The maximum value of the sine function is 1.

Front

What is the minimum value of the cosine function?

Back

The minimum value of the cosine function is -1.

Front

How do you find the amplitude of a trigonometric function?

Back

The amplitude of a trigonometric function is found by taking half the distance between the maximum and minimum values of the function.

Front

What is the effect of changing the amplitude in a sine or cosine function?

Back

Changing the amplitude of a sine or cosine function stretches or compresses the graph vertically. A larger amplitude results in taller peaks and deeper troughs.