# How to find trig limits

You can use these properties to evaluate many limit problems involving the six basic trigonometric functions. Example 1: Evaluate . Substituting 0 for x, you find that cos x approaches 1 and sin x − 3 approaches −3; hence, Example 2:

## Trigonometric limits

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## List of Limits for Trigonometric Functions Formulas

Let's find the limit as x approaches pi of sine of x. Pause the video and see if you can figure this out. Well, with both sine of x and cosine of x, they are defined for all real numbers, so their domain is all real numbers. You can

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## 1.7: Limit of Trigonometric functions

This leads to the following theorem. Theorem 1.7.1 If a is any number in the natural domain of the corresponding trigonometric function, then limx → asin(x) = sin(a). limx → acos(x) = cos(a). limx → atan(x) = tan(a). limx