Question

Find the percentage error |sinθ - θ|/sin(θ)*100 this approximation introduces for an angle of 0. 020 radians.

Answer 1

Considering the given angle and the given formula, it is found that the percentage error for an angle of 0.02 radians is of 0.0067%.

What is the percentage angle for an angle?

For an angle $\theta$, it is given by the following formula:

$P = 100\frac{|\sin{\theta} - \theta|}{\sin{\theta}}$

In this problem, the angle is of $\theta = 0.02$, hence:

$P = 100\frac{|\sin{0.02} - 0.02|}{\sin{0.02}}$

$P = 0.0067$

The percentage error for an angle of 0.02 radians is of 0.0067%.

More can be learned about percent error at brainly.com/question/25224978