Find the approximate value of `sin((5pi)/(16))` .

Explanation

To find the approximate value of \( \sin\left(\frac{5\pi}{16}\right) \), we can use the formula for linear approximation. The formula is given by:

\[ f(x) \approx f(a) + f'(a) \cdot \Delta x \]

where:
- \( f(x) \) is the function we want to approximate,
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