The period T of oscillation of a simple pendulum of length l is given by by expanding

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The period T of oscillation of a simple pendulum of length l is given by

T = 4OS Jo 1 (1-sin-a sin0) -do


by expanding the integrand as a power series in sin2 1/2α show that

O T = 2 [1 + 4sina+sina + ...

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