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.

Tags

CCSS.HSF.TF.A.4

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.

Tags

CCSS.HSF-IF.C.7E

Front

What is the Pythagorean identity involving sine and cosine?

Back

sin²x + cos²x = 1.

Tags

CCSS.HSF.TF.C.8

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.

Tags

CCSS.HSF-IF.C.7E

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.

Tags

CCSS.HSF.TF.A.4

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.

Tags

CCSS.HSF-IF.C.7E

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.

Tags

CCSS.HSF-IF.C.7E

Front

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

Back

The maximum value is the vertical shift plus the amplitude.

Tags

CCSS.HSF.TF.A.4