Unit 4B: Sinusoidal Practice

Front

What is the maximum height of a Ferris wheel with a radius of 95 feet and suspended 20 feet above the ground?

Back

The maximum height is 115 feet.

Front

What is the period of a cosine function if it completes one full cycle in 10 units?

Back

The period is 10.

Front

Write the equation for a cosine function with an amplitude of 3, period of 2π, phase shift of π, and vertical shift of 5.

Back

y = 3cos(x - π) + 5.

Front

What is the Pythagorean identity involving sine and cosine?

Back

sin²x + cos²x = 1.

Front

What is the derivative of sin(x)?

Back

The derivative of sin(x) is cos(x).

Front

What is the amplitude of a sinusoidal function?

Back

The amplitude is the maximum distance from the midline to the peak or trough of the wave.

Front

How do you determine the period of a sinusoidal function from its equation?

Back

The period can be found using the formula: Period = 2π / |b|, where b is the coefficient of x in the function.

Front

What is the vertical shift in a sinusoidal function?

Back

The vertical shift is the amount by which the graph of the function is moved up or down from the midline.

Front

What is the phase shift of a sinusoidal function?

Back

The phase shift is the horizontal shift left or right for the graph of the function.

Front

How do you find the maximum value of a sinusoidal function?

Back

The maximum value is the vertical shift plus the amplitude.