Algebra 2 Q4 Review

What is a possible value for θ? (hint: negative angles go clockwise)

• -π/3

• -π/6

• π/6

• 5π/3

Which point on the Unit circle corresponds to θ = 11π/6?

• (-1/2, √3/2)

• (-1/2, -√3/2)

• (-√3/2, -1/2)

• (√3/2, -1/2)

An angle θ is formed with the initial side on the positive x-axis. Suppose cosθ < 0 and π < θ < 2π. In which quadrant does the terminal side of the angle lie?

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV

The angle with measure θ = 5π/4 is formed by the positive x-axis and the line y = x. What is the value of sinθ?

• -1

• -√2/2

• √2/2

• 1

Suppose sinθ = -3/5 and π/2 < θ < 3π/2. What is the value of tanθ?

• -4/5

• -3/5

• 4/3

• 3/4

Which of the following statements is true of the trigonometric function shown in the graph to the left?

• The period of the function is π.

• The amplitude of the function is 6.

• The midline of the function is y = 1.

• A maximum occurs at (π/2, -3).

What is the maximum of the graph of y = -2sin(θ) + 3?

The trigonometric function f(x) is shown in the graph below.

• f(x) = -2sin(x) - 3

• f(x) = -2cos(x) - 3

• f(x) = 2sin(x) - 3

• f(x) = 2cos(x) - 3

The height H (in feet) above ground of a passenger on a Ferris wheel can be modeled by the function. According to the model, what are the minimum and maximum heights above ground the passenger will reach on the Ferris wheel?

• Minimum: 5 feet; Maximum: 85 feet

• Minimum: 5 feet; Maximum: 165 feet

• Minimum: 80 feet; Maximum: 85 feet

• Minimum: 80 feet; Maximum: 165 feet

• 120°

• 90°

• 60°

• 30°