Lesson E3

E3 Trigonometric graphs, exact values and symmetry Quiz: AQA Maths, Unit 5

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson E3, Trigonometric graphs, exact values and symmetry: 20 multiple choice questions for the AQA Maths (7357), Unit 5: Trigonometry, written with Revision Ninja.

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The 20 questions

  1. What is the exact value of sin(pi/6)?

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

  2. What is the exact value of cos(pi/3)?

    • 0
    • 1
    • sqrt(3)/2
    • 1/2

  3. What is the exact value of tan(pi/4)?

    • 0
    • 1/sqrt(3)
    • sqrt(3)
    • 1

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

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

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

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

  6. What line of symmetry does the graph of y = cos x have?

    • Line y = x
    • y-axis
    • x-axis
    • Line y = -x

  7. Which term describes the symmetry type of the function y = sin x?

    • Periodic function
    • Odd function
    • Even function
    • Inverse function

  8. What is the range of the function y = sin x for real x?

    • -1 <= y <= 1
    • 0 <= y <= 1
    • All real numbers
    • -1 < y < 1

  9. Which two values of x in 0 <= x < 2 pi satisfy sin x = 1/2?

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

  10. What is the exact value of sin(5 pi/6)?

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

  11. What is the exact value of cos(7 pi/6)?

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

  12. How many solutions does cos x = 0 have for 0 <= x < 2 pi?

    • 4
    • 1
    • 2
    • 3

  13. What is the maximum value of y = 2 sin x + 1?

    • 2
    • 1
    • -1
    • 3

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

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

  15. The graph of y = sin(x - pi/2) is a translation of y = sin x by which vector?

    • (0, pi/2)
    • (pi, 0)
    • (pi/2, 0)
    • (-pi/2, 0)

  16. For -1 < k < 0, how many solutions does sin x = k have for 0 <= x < 2 pi?

    • 0
    • 3
    • 2
    • 1

  17. What is the exact value of tan(2 pi/3)?

    • sqrt(3)
    • 1/sqrt(3)
    • -sqrt(3)
    • -1/sqrt(3)

  18. What is the exact value of sin(11 pi/6)?

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

  19. How many solutions does 2 cos x = 1 have for 0 <= x < 4 pi?

    • 2
    • 6
    • 4
    • 3

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

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

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