Group Activity Instructions and Point System

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3.1: The figure shows the graph of the periodic function f(x). The period of f is an integer p. What is the value of p?

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3.4: Let f be the function given by f(x) = sin x. It is known that f(11π/10) = (1 - √5)/4 ≈ -0.309. Suppose that P is the point at the intersection of the terminal ray of an angle in standard position measuring 11π/10 and the unit circle. Which of the following is true about P?

• P lies 0.309 above the x-axis.

• P lies 0.309 below the x-axis.

• P lies 0.309 to the left of the y-axis.

• P lies 0.309 to the right the y-axis.

(Topic 3.1) Suppose that, for a function f, it is known that f(x + 12) = f(x + 4) for all x. Which of the following could be the period of f?

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3.5: The functions f and g are defined by f(x) = cos x and g(x) = sin x. For some θ with 0 < θ < 2π, it is known that f(θ) = -0.6 and g(θ) = -0.8. Which of the following is true?

• f(-θ) = 0.6 and g(-θ) = 0.8

• f(-θ) = -0.6 and g(-θ) = 0.8

• f(-θ) = 0.6 and g(-θ) = -0.8

• f(-θ) = -0.6 and g(-θ) = -0.8

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(Topic 3.2) The point P lies at the intersection of a circle with a radius of 13 and the terminal ray of an angle in standard position measuring θ radians. If the coordinates of P are (5, y) and y < 0, what is tanθ?

• -12/5

• 5/12

• 12/5

• -5/12