Working with limits.

Solve for t.

lim t-->0 (sin t)^2 / (4t)^2

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...d we can apply Lhopital's rule to find its value.

Lhopital's rule states that if
lim(x->0) f(x)/g(x)
is of indeterminate form 0/0, it is equal to
lim(x->0) f'(x)/g'(x)

Applying Lhopita's rule to the original ...