Problem 54710. Compute the period of a pendulum started from a finite initial angle
Cody Problem 49830 asks for the period T of a pendulum swinging through a small angle. Here the pendulum started at rest from an angle that is not necessarily small. The other assumptions are similar (no friction or drag, massless rod).
Write a function that takes the initial angle and returns , where L is the length of the pendulum and g is the acceleration of gravity. In the limit as the initial angle approaches zero, the function should produce .
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