Lesson 5.9.1

5.9.1 Trigonometric functions in context Quiz: Pearson Edexcel Maths, Unit 5

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson 5.9.1, Trigonometric functions in context: 20 multiple choice questions for the Pearson Edexcel Maths (9MA0), Unit 5: Trigonometry, written with Revision Ninja.

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The 20 questions

  1. What does a periodic trigonometric function model in real-world contexts?

    • Exponential decay
    • Linear growth
    • Repeating phenomena
    • Random noise

  2. Which trigonometric ratio is typically used to model horizontal displacement in simple harmonic motion?

    • Cosecant
    • Cotangent
    • Tangent
    • Cosine

  3. In a height-versus-time tide model, what does the vertical shift represent?

    • Wave amplitude
    • Phase angle
    • Mean sea level
    • Time period

  4. What does the amplitude of a sinusoidal temperature model represent?

    • Maximum variation
    • Total duration
    • Time shift
    • Mean temperature

  5. If a Ferris wheel completes one revolution every 60 seconds, what is the function's period?

    • 60 seconds
    • 30 seconds
    • 360 seconds
    • 120 seconds

  6. When modelling hours of daylight, what is the standard period of the trigonometric function in days?

    • 365
    • 7
    • 182.5
    • 24

  7. In the model h = 5 + 3sin(15t), what is the maximum height?

    • 8
    • 15
    • 3
    • 5

  8. In the model h = 5 + 3sin(15t), what is the minimum height?

    • 2
    • 5
    • -3
    • 0

  9. What term describes the horizontal shift when modelling a displaced trigonometric wave?

    • Frequency
    • Wavelength
    • Amplitude
    • Phase angle

  10. For a spring oscillating vertically, which trigonometric function best models displacement from equilibrium over time?

    • Logarithm
    • Sine
    • Secant
    • Tangent

  11. If angular speed omega is pi/6 radians per hour, what is the period of the model?

    • 12 hours
    • 3 hours
    • 24 hours
    • 6 hours

  12. What does the coefficient of t inside a trigonometric argument determine in context?

    • Phase shift
    • Frequency
    • Vertical shift
    • Amplitude

  13. When finding maximum values in contextual trig problems, which derivative must equal zero?

    • Integral
    • Discriminant
    • First derivative
    • Second derivative

  14. To prove a model yields a maximum rather than a minimum, what should be checked?

    • Y-intercept
    • Second derivative
    • Period
    • Amplitude

  15. In a sound wave model, what physical property does the amplitude correspond to?

    • Frequency
    • Volume
    • Speed
    • Pitch

  16. In an alternating current model, what does the peak voltage represent?

    • Amplitude
    • Phase
    • Period
    • Frequency

  17. If a wheel rotates at 2 revolutions per second, what is the frequency in Hertz?

    • pi Hz
    • 4 Hz
    • 0.5 Hz
    • 2 Hz

  18. When modelling seasonal sales peaking in summer, which trigonometric curve is most easily adapted?

    • Linear
    • Cosine
    • Tangent
    • Exponential

  19. What is the unit of the angle input when evaluating trigonometric context models in calculus?

    • Radians
    • Gradians
    • Metres
    • Degrees

  20. If tide height is modelled by h = 4cos(30t), what is the amplitude of the tide?

    • 2
    • 4
    • 30
    • 15

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