Trigonometric Graphs & Equations

Trigonometric Graphs & Equations Quiz

Spec E6.4 · Cambridge IGCSE Maths: Quiz

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5 questions, one answer each

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

    • A. 360 degrees
    • B. 180 degrees
    • C. 90 degrees
    • D. 270 degrees

  2. 2. At which two values in 0°−360°0°-360° is y=tan⁡xy=\tan x undefined?

    • A. 90 degrees and 270 degrees
    • B. 0 degrees and 180 degrees
    • C. 180 degrees and 360 degrees
    • D. 45 degrees and 135 degrees

  3. 3. Solve cos⁡x=0.5\cos x = 0.5 for 0°≤x≤360°0° \leq x \leq 360°.

    • A. 60 degrees and 300 degrees
    • B. 60 degrees and 120 degrees
    • C. 30 degrees and 330 degrees
    • D. 60 degrees and 240 degrees

  4. 4. Solve 2sin⁡x−1=02\sin x - 1 = 0 for 0°≤x≤360°0° \leq x \leq 360°.

    • A. 30 degrees and 150 degrees
    • B. 30 degrees and 330 degrees
    • C. 60 degrees and 120 degrees
    • D. 30 degrees and 210 degrees

  5. 5. Why does the sine rule sometimes have an 'ambiguous case' but the cosine rule does not?

    • A. Because sin(180-x) = sin(x), so two angles share the same sine value, while cosine is uniquely negative for obtuse angles
    • B. Because cosine graphs are never symmetrical
    • C. Because sine only has one solution per equation
    • D. Because the cosine rule cannot be used for obtuse triangles

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