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

Sagot :

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 [tex]\theta[/tex], it is given by the following formula:

[tex]P = 100\frac{|\sin{\theta} - \theta|}{\sin{\theta}}[/tex]

In this problem, the angle is of [tex]\theta = 0.02[/tex], hence:

[tex]P = 100\frac{|\sin{0.02} - 0.02|}{\sin{0.02}}[/tex]

[tex]P = 0.0067[/tex]

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

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

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