Unit 8 Trig Graphs

Front

What is the formula for the height of a rider on a ferris wheel modeled by a cosine function?

Back

f(x) = A(cos(Bx)) + D, where A is the amplitude, B affects the period, and D is the vertical shift.

Front

What does the amplitude of a sine or cosine function represent?

Back

The amplitude represents the maximum distance from the midline to the peak (or trough) of the graph.

Front

How do you calculate the period of a cosine function?

Back

Front

What is the relationship between the diameter of a ferris wheel and the amplitude of its height function?

Back

The diameter is twice the amplitude of the height function.

Front

If a sine curve has a maximum value of 100 and a minimum value of 40, how do you find the amplitude?

Back

Amplitude = (Maximum - Minimum) / 2 = (100 - 40) / 2 = 30.

Front

What is the significance of the midline in a trigonometric graph?

Back

Front

How do you determine the frequency of a trigonometric function?

Back

Frequency is the number of cycles the function completes in a given interval, often represented as f in the period formula.

Front

Back

Front

What is the initial side and terminal side of an angle in standard position?

Back

The initial side is the positive x-axis, and the terminal side is the position of the angle after rotation.

Front

How do you convert radians to degrees?

Back