#### Exercise 2: Comparison with Analytical Small Angle Approximation Solution

Once you have determined a value of Δ t that produces an acceptably accurate computational solution, compare the computational results (angular displacement as a function of time) with the analytically determined function for the angular displacement

θ(t)=θ 0 cos(2 g L−−−√t)(8)

for the rigid pendulum, resulting from the small angle approximation. Comment in detail on your observations.