Section 8.1: Graphs of Sine and Cosine Functions Video Quiz

Why are sine and cosine functions called periodic?

• Because they have a maximum value of 1

• Because they repeat their values at regular intervals

• Because they are always positive

• Because they are linear functions

What constants affect the range of a sine or cosine function?

• None of the above

• Frequency and phase shift

• Amplitude and vertical shift

• Period and horizontal shift

How can the unit circle be used to construct the graph of sine?

• By plotting the x-coordinates of the unit circle

• By plotting the y-coordinates of the unit circle

• By plotting the radius of the unit circle

• By plotting the angles of the unit circle

What is the period of a cosine function with a coefficient of 2 inside the function?

• π

• 4π

• π/2

• 2π

If a sine function has an amplitude of 4 and a vertical shift of 5, what is the range of the function?

• [-4, 4]

• [1, 9]

• [5, 9]

• [2, 8]

At what x-value does the minimum point occur for the given trigonometric function?

• 0.08

• 2.09

• 0.71

• 1.57

What is the effect of a negative sign in front of a trigonometric function?

• It shifts the graph to the left.

• It reflects the graph across the y-axis.

• It reflects the graph across the x-axis.

• It shifts the graph to the right.

How do you determine the period of a trigonometric function when there is a constant in front of the variable?

• Divide 2π by the constant.

• Subtract the constant from 2π.

• Multiply 2π by the constant.

• Add the constant to 2π.

Where does the sine function reach its maximum value on the unit circle?

• At 0 radians

• At π radians

• At 3π/2 radians

• At π/2 radians

What is the x-value in radians where cosine equals 1/2?

• π/6 and 11π/6

• π/2 and 3π/2

• π/4 and 7π/4

• π/3 and 5π/3