Solving trigonometric equations

Solving trigonometric equations Quiz

Spec E7 · AQA A-Level Maths: Quiz

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5 questions, one answer each

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  1. 1. Solve sin⁡x=12\sin x=\frac12 for 0∘≤x≤360∘0^\circ\le x\le360^\circ.

    • A. 30∘, 330∘30^\circ,\ 330^\circ
    • B. 60∘, 120∘60^\circ,\ 120^\circ
    • C. 30∘, 150∘30^\circ,\ 150^\circ
    • D. 150∘, 210∘150^\circ,\ 210^\circ

  2. 2. How many solutions has cos⁡2x=0.5\cos2x=0.5 for 0∘≤x≤360∘0^\circ\le x\le360^\circ?

    • A. 22
    • B. 44
    • C. 66
    • D. 88

  3. 3. Solve tan⁡x=3\tan x=\sqrt3 for 0∘≤x≤360∘0^\circ\le x\le360^\circ.

    • A. 60∘, 240∘60^\circ,\ 240^\circ
    • B. 120∘, 300∘120^\circ,\ 300^\circ
    • C. 60∘, 300∘60^\circ,\ 300^\circ
    • D. 30∘, 210∘30^\circ,\ 210^\circ

  4. 4. Solve cos⁡2x=14\cos^2x=\frac14 for 0∘≤x≤180∘0^\circ\le x\le180^\circ.

    • A. 60∘60^\circ
    • B. 120∘120^\circ
    • C. 30∘, 150∘30^\circ,\ 150^\circ
    • D. 60∘, 120∘60^\circ,\ 120^\circ

  5. 5. How many solutions has sin⁡xcos⁡x=sin⁡x\sin x\cos x=\sin x for 0∘≤x≤360∘0^\circ\le x\le360^\circ?

    • A. 11
    • B. 22
    • C. 33
    • D. 44

Quiz