![]() This is one of those useful angles to know the sine and cosine of. Limit is just gonna be cosine of pi over four, and that is going to be equal to square root of two over two. The limit as x approaches, I'll just take an arbitraryĪngle, x approaches pi over four of cosine of x? Well once again, cosine of x is definedįor all real numbers, x can be any real number. Now we could do a similarĮxercise with cosine of x, so if I were to say what's Is the same thing as sine of pi, and sine of pi, you might already know, is equal to zero. And so for sine of x,īecause it's continuous, and is defined at sine of pi, we would say that this Over their entire domain, in fact, all of the trigonometricįunctions are continuous over their entire domain. You can put any real number in here for x and it will give you an output. ![]() Well, with both sine of x and cosine of x, they are defined for all real numbers, so their domain is all real numbers. ![]() Let's find the limit as xĪpproaches pi of sine of x. ![]() So let's just start with aįairly straightforward one. Going to do in this video is think about limits involving ![]()
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