Radians

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Question 30

In a precision laser alignment system, the deviation ratio $D$ for a small angle of incidence $θ\theta$ (measured in radians, where $θ≠0\theta \neq 0$ ) is modeled by the function:

D(\theta) = \frac{3\theta \sin(4\theta)}{1 - \cos(5\theta)}

Using small angle approximations, show that for small values of $θ\theta$ , $D(θ)≈KD(\theta) \approx K$ where $K$ is a constant to be determined.

[3]

Radians

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45

Question 30

In a precision laser alignment system, the deviation ratio $D$ for a small angle of incidence $θ\theta$ (measured in radians, where $θ≠0\theta \neq 0$ ) is modeled by the function:

D(\theta) = \frac{3\theta \sin(4\theta)}{1 - \cos(5\theta)}

Using small angle approximations, show that for small values of $θ\theta$ , $D(θ)≈KD(\theta) \approx K$ where $K$ is a constant to be determined.

[3]

Radians

Question 30

Radians Questions

Radians

Question 30

Radians Questions