Small angle approximations

Small angle approximations Quiz

Spec 5.2 · Edexcel A-Level Maths: Quiz

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  1. 1. Using a small angle approximation, cos⁡0.1≈\cos0.1\approx

    • A. 0.9950.995
    • B. 0.990.99
    • C. 0.90.9
    • D. 0.50.5

  2. 2. For small θ\theta, sin⁡5θθ≈\frac{\sin5\theta}{\theta}\approx

    • A. 11
    • B. 2525
    • C. 5θ5\theta
    • D. 55

  3. 3. For small θ\theta, 1−cos⁡θ≈1-\cos\theta\approx

    • A. θ2\theta^2
    • B. θ22\frac{\theta^2}{2}
    • C. θ2\frac{\theta}{2}
    • D. 1−θ1-\theta

  4. 4. For small xx, 1−cos⁡2xx2≈\frac{1-\cos2x}{x^2}\approx

    • A. 11
    • B. 44
    • C. 22
    • D. 12\frac12

  5. 5. The percentage error in sin⁡0.5≈0.5\sin0.5\approx0.5 is closest to

    • A. 0.043%0.043\%
    • B. 4.3%4.3\%
    • C. 0.5%0.5\%
    • D. 43%43\%

Quiz