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.

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.

1.8 E: Trigonometry

Question 54

Markscheme

1.8 E: Trigonometry

Question 54

Markscheme

1.8 E: Trigonometry

Question 54

1.8 E: Trigonometry Questions

1.8 E: Trigonometry

Question 54

1.8 E: Trigonometry Questions