Trigonometric Limits formulas
In trigonometry, there are six trigonometric functions, which often involve in forming some functions. In calculus, we evaluate limits of functions in which the trigonometric functions are involved. So, special limit formulas are required to find the limits of such functions and they are called the limits formulas of trigonometric functions.
There are two important fundamental limits laws of trigonometric functions in calculus. Now, let’s learn trigonometric limits rules with proofs to find the limits of trigonometric functions.
$\displaystyle \large \lim_{x \,\to\, 0}{\normalsize \dfrac{\sin{x}}{x}} \normalsize \,=\, 1$
$\displaystyle \large \lim_{x \,\to\, 0}{\normalsize \dfrac{\tan{x}}{x}} \normalsize \,=\, 1$
Once you clearly learned both limits rules for trigonometric functions, you can use them as limits formulas in calculus to find the limits of functions in which the trigonometric functions are involved.