Gr 11 Math Ch 5: The Sine Function
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Questions and Answers

What is the period of the function y = sinθ?

  • 540°
  • 360° (correct)
  • 720°
  • 180°

    • What is the amplitude of the function y = 2sinθ?

  • 2 (correct)
  • 8
  • 1
  • 4

    • What is the effect of q on the function y = sinθ + q?

  • Reflection about the x-axis
  • Horizontal shift
  • Reflection about the y-axis
  • Vertical shift (correct)

    • What is the x-intercept of the function y = sinθ?

    <p>(0°, 0), (180°, 0), (360°, 0)</p> Signup and view all the answers

    What is the period of the function y = sinkθ?

    <p>360°/|k|</p> Signup and view all the answers

    What is the effect of k on the function y = sinkθ if k is negative?

    <p>Reflection about the y-axis</p> Signup and view all the answers

    What is the effect of p on the function y = sin(θ + p)?

    <p>Horizontal shift</p> Signup and view all the answers

    What is the domain of the function y = sinkθ?

    <p>{θ : θ ∈ ℝ}</p> Signup and view all the answers

    What is the range of the function y = sinθ?

    <p>[-1, 1]</p> Signup and view all the answers

    What is the effect of a in the function y = a sinθ when a > 1?

    <p>The amplitude increases.</p> Signup and view all the answers

    What is the effect of k in the function y = sin kθ when k < 0?

    <p>The graph is reflected about the y-axis.</p> Signup and view all the answers

    What is the x-intercept of the function y = sinθ?

    <p>(0, 0) and (180, 0)</p> Signup and view all the answers

    What is the maximum turning point of the function y = sinθ?

    <p>(90, 1)</p> Signup and view all the answers

    What is the effect of p in the function y = sin(θ + p) when p > 0?

    <p>The graph shifts to the left by p units.</p> Signup and view all the answers

    What is the y-intercept of the function y = sinθ?

    <p>(0, 0)</p> Signup and view all the answers

    What is the domain of the function y = sinθ?

    <p>[0, ∞)</p> Signup and view all the answers

    What is the effect of q on the graph of y = a sinθ + q if a is negative?

    <p>The graph shifts vertically downwards by q units and is reflected about the x-axis.</p> Signup and view all the answers

    What is the period of the function y = sin(2θ)?

    <p>180°</p> Signup and view all the answers

    What is the effect of a on the graph of y = a sinθ if a = -0.5?

    <p>The graph is reflected about the x-axis and the amplitude is decreased.</p> Signup and view all the answers

    What is the effect of k on the graph of y = sin(kθ) if k = -2?

    <p>The graph is reflected about the y-axis and the period is halved.</p> Signup and view all the answers

    What is the x-intercept of the function y = sin(θ + 30°)?

    <p>(-30°, 0)</p> Signup and view all the answers

    What is the y-intercept of the function y = 2sinθ + 1?

    <p>(0°, 1)</p> Signup and view all the answers

    What is the maximum turning point of the function y = -sinθ?

    <p>(270°, -1)</p> Signup and view all the answers

    What is the effect of p on the graph of y = sin(θ + p) if p = -60°?

    <p>The graph shifts to the right by 60°.</p> Signup and view all the answers

    What is the period of the function y = sin(3θ)?

    <p>60°</p> Signup and view all the answers

    What is the amplitude of the function y = -2sin(θ + 30°)?

    <p>4</p> Signup and view all the answers

    What is the minimum turning point of the function y = sin(θ - 45°)?

    <p>(270°, -1)</p> Signup and view all the answers

    What is the effect of a on the function y = a sin(θ) + 2 when a = -3?

    <p>The graph is reflected about the x-axis and the amplitude increases.</p> Signup and view all the answers

    What is the x-intercept of the function y = sin(2θ + 30°)?

    <p>(15°, 0)</p> Signup and view all the answers

    What is the effect of p on the function y = sin(θ + p) when p = 90°?

    <p>The graph shifts to the left by 90°.</p> Signup and view all the answers

    What is the maximum turning point of the function y = -sin(2θ)?

    <p>(90°, -1)</p> Signup and view all the answers

    What is the range of the function y = 2sin(θ) + 1?

    <p>[1, 3]</p> Signup and view all the answers

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