Approximation/Examples/Sine of x

Theorem

For small values of $x$ measured in radians:

$\sin x \approx x$

Proof

From Limit of Sine of X over X at Zero:

$\ds \lim_{x \mathop \to 0} \frac {\sin x} x = 1$

Hence the result.

$\blacksquare$

Sources

• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): approximation theory