Section 8.2: Graphs of Other Trigonometric Functions Video Quiz

How can the graph of sine be used to graph cosecant?

• By shifting the sine graph horizontally

• By taking the reciprocal of the sine values and plotting them

• By multiplying the sine values by a constant

• By reflecting the sine graph over the x-axis

What is the period of the tangent function?

• π/2

• π

• 4π

• 2π

How do the periods of sine and cosecant functions compare?

• Sine has a period of 2π, while cosecant has a period of π

• Both sine and cosecant have the same period of 2π

• Sine has a period of π, while cosecant has a period of 2π

• Both sine and cosecant have the same period of π

What is the horizontal shift of the function y = sec(π/4 * x - 1)?

• 1 unit to the right

• 1 unit to the left

• 4 units to the right

• 4 units to the left

What is the period of the function y = 2 sec(π/4 * x)?

• 8

• 4π

• π/4

• 2π

How do you determine the vertical asymptotes of a secant function?

• By finding the x-intercepts of the cosine function

• By finding the x-intercepts of the sine function

• By finding the minimum points of the cosine function

• By finding the maximum points of the sine function

What is the amplitude of the function y = 7/5 sin(x - π/4)?

• 7

• π/4

• 7/5

• 5

What is the period of the function y = 2 tan(π/3 * x)?

• π

• 3π

• 2π

• π/3

What is the minimum distance between the fisherman and the boat in the given problem?

• 1.5 kilometers

• 3 kilometers

• 2 kilometers

• 1.73 kilometers

What is the height of the rocket after 30 seconds?

• 0 miles

• 2 miles

• 3 miles

• 1 mile