Why should the amplitude be small for a simple pendulum experiment?

Moderate

A

Because $T = 2 π \sqrt{L / g}$ is based on the assumption that $\cos θ \equiv θ$ which is true only for small amplitude.
B

Because $T = 2 π \sqrt{L / g}$ is based on the assumption that $s e c θ \equiv θ$ which is true only for small amplitude.
C

Because $T = 2 π \sqrt{L / g}$ is based on the assumption that $\sin θ \equiv θ$ which is true only for small amplitude.
D

Because $T = 2 π \sqrt{L / g}$ is based on the assumption that $\tan θ \equiv θ$ which is true only for small amplitude.

Solution

Because $T = 2 π \sqrt{L / g}$ is based on the assumption that $\sin θ \equiv θ$ which is true only for small amplitude.

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