The problem involves using the approximation sin(x) = x to determine the maximum angle of deflection for a simple gravity pendulum, with a focus on the accuracy of this approximation at different percentage levels. The context is rooted in the application of Taylor series for estimating accuracy.
The discussion is ongoing, with participants expressing uncertainty about implementing the Taylor series and calculating accuracy. Some guidance has been offered regarding starting points, but there is no explicit consensus on the approach to take.
Participants note a lack of clarity on how to apply the Taylor series and the concept of accuracy in this context. There is also mention of needing to reference external materials for understanding Taylor series.
You could determine this term to begin.by using the next nonvanishing term of the Taylor series
If the real value is 0.5 and the approximation is 0.45 (arbitrary numbers), what is the relative deviation?How do I calculate the accuracy ?
engboysclub said:I'm not really sure - I know what Taylor series is - Graphically and what it does but I don't know how to implement it or work it out.