Think about letting 7 - 7 cosine 10 T equals some new variable Theta. Then we want to think about what happens to that 7 - 7 cosine 10T as T goes to zero. Well, if we stick T as zero 10 times 00, cosine of 0 is one 7 - 7 is 0. So the 7 - 7 cosine 10 T is going to go to 0 because we decided to let that equal our new variable Theta. We know that Theta is going to go to 0. So now we're going to do some straight substitution. So limit as Theta goes to zero of eight sine Theta over Theta, or limit as Theta goes to 0 sine Theta over Theta times eight. We know this goes to one 1 * 8 is 8. We could also think about just realizing that this angle here the 7 - 7 cosine 10 T, the sine of that is over that 7 - 7 cosine T10T. For this to be true, we know that the property says the limit as Theta goes to 0 of sine Theta over Theta equal 1. So if you thought about putting 0 in for this T 7 -, 7 cosine 10 T is going to be 0. If we thought about putting it in down here, we'd get zero again. So that would fit this property. So we could think of this as the limit as T goes to zero of the sine of some unknown divided by that same unknown, and then whatever is left, we're going to multiply down here at the end. In this case it's times 8, so that then when I put t = 0, I'm going to get 1 * 8 and get 8.