Lesson 1.05f

1.05f Graphs and small angles Quiz: OCR Maths, Unit 5

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson 1.05f, Graphs and small angles: 20 multiple choice questions for the OCR Maths (H240), Unit 5: Trigonometry, written with Revision Ninja.

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The 20 questions

  1. What is the period of y = sin x?

    • pi/2
    • pi
    • 2 pi
    • 4 pi

  2. What is the period of y = tan x?

    • pi/2
    • 2 pi
    • 4 pi
    • pi

  3. What is the range of y = cos x?

    • [-2, 2]
    • All real numbers
    • [0, 1]
    • [-1, 1]

  4. How many zeros does y = sin x have in the interval [0, 2 pi]?

    • 3
    • 2
    • 1
    • 4

  5. What are the amplitude and period of y = 3 sin(2x)?

    • Amplitude 3, period 2 pi
    • Amplitude 3, period pi
    • Amplitude 2, period 3 pi
    • Amplitude 6, period pi

  6. For small theta in radians, what is the approximation of tan theta?

    • 1 - theta^2/2
    • theta
    • 1
    • theta^2

  7. Using a small-angle approximation, what is cos 0.1?

    • 1.005
    • 0.999
    • 0.995
    • 0.9

  8. What is sin(pi/6)?

    • sqrt(3)/2
    • 1
    • 1/2
    • sqrt(2)/2

  9. What is the maximum value of y = 2 + 3 cos x?

    • 5
    • -1
    • 3
    • 2

  10. Which function is equal to sin(x - pi/2)?

    • cos x
    • sin x
    • -cos x
    • -sin x

  11. Solve sin x = 1/2 for 0 <= x <= 2 pi.

    • pi/3 and 2pi/3
    • pi/6 and 7pi/6
    • pi/4 and 3pi/4
    • pi/6 and 5pi/6

  12. Solve cos x = -1/2 for 0 <= x <= 2 pi.

    • pi/2 and 3pi/2
    • 2pi/3 and 4pi/3
    • pi/3 and 5pi/3
    • pi/3 and 2pi/3

  13. For small theta in radians, what is (1 - cos theta)/theta approximately?

    • 1
    • theta
    • theta^2/2
    • theta/2

  14. Using small-angle approximations, what is (1 - cos 0.2)/sin 0.2 approximately?

    • 0.1
    • 0.01
    • 0.2
    • 0.02

  15. What is the period of y = |sin x|?

    • pi
    • 2 pi
    • pi/2
    • 4 pi

  16. How many solutions does cos x = 0 have in the interval [0, 2 pi]?

    • 2
    • 1
    • 4
    • 3

  17. Where are the vertical asymptotes of y = tan x in [0, 2 pi]?

    • x = pi/2 and x = 3pi/2
    • x = pi/4 and x = 3pi/4
    • x = 0 only
    • x = pi and x = 2 pi

  18. What is the range of y = 2 sin x + 1?

    • [-1, 3]
    • [1, 3]
    • [0, 2]
    • [-2, 2]

  19. What is the minimum value of y = sin(2x) + 1?

    • -2
    • 1
    • -1
    • 0

  20. Which function is equal to sin(x + pi/2)?

    • cos x
    • -cos x
    • sin x
    • -sin x

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