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## Homework Statement

One uses the approximation sin(x) = x to calculate the oscillation period of a simple gravity pendulum. Which is the maximal angle of deﬂection (in degree) such that this approximation is accurate to a) 10%, b) 1%, c) 0.1%. You can estimate the accuracy by using the next nonvanishing term of the Taylor series

## Homework Equations

## The Attempt at a Solution

I'm not sure how to begin.