why sin θ ≈ θ

So, I was working on simple program, which is a SHM (Simple Harmonic Motion) pendulum simulation. While trying to derive the formula, I came across the following equation for the restoring force: F &#x02248; &#x02212; m g &#x003B8; The formula is comes from ball like this: As you can see, The force providing the restoring torque is the component of the weight of the pendulum bob which is: F…