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. Which symmetry does the graph of y = cos x have?

    • It is symmetric about the line y = x, so cos x is its own inverse
    • It is symmetric about the y-axis, so cos x is an even function
    • It is symmetric about the origin, so cos x is an odd function
    • It has rotational symmetry of order 4 about the origin

  7. Which statement about y = sin x is true?

    • The graph of sin x is symmetric about the y-axis
    • sin(-x) = -sin x, so sin x is an odd function
    • sin(-x) = sin x for all x, so sin x is an even function
    • sin(x + pi) = sin x for all x, so sin x has period pi

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

    • -1 <= y <= 1
    • 0 <= y <= 1
    • All real values of y
    • -pi/2 <= y <= pi/2

  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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