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Inputting this function of x into the nth Chebyshev polynomial of the first kind yields this function of nx. This function equals the average of e to the ix and e to the minus ix, and the hyperbolic form of this function is the average of e to the x and e to the minus x. The first two terms of this function’s Taylor series are one and minus one-half x-squared. For a complex number of modulus one, this function of the argument is the number’s real part. Pythagoras’ theorem is a special case of a law named after this function. The reciprocal of this function is secant. For 10 points, name this trigonometric function that equals adjacent over hypotenuse in a right triangle. ■END■
| Player | Team | Opponent | Buzz Position | Value |
|---|---|---|---|---|
| Andrew Harms | Michigan State A | Michigan State B | 44 | 10 |
| Andrew Stappenbeck | CWRU A | West Virginia A | 68 | 10 |
| Arjun Saulnier | CWRU B | Miami A | 68 | 10 |
| Dennis Yang | Michigan A | Michigan B | 69 | 10 |
| Beckett Gilmore | Jefferson County Scholars | Michigan C | 87 | 10 |
| Elijah Quan | Michigan C | Jefferson County Scholars | 87 | -5 |
| Matthew Kelley | Michigan D | West Virginia B | 100 | 10 |
| Kenny Shaffer | Ohio State A | CWRU C | 102 | 10 |
| 2024 ACF Fall at Claremont Colleges | fall | Y | 5 | 100% | 0% | 20% | 58.20 |
| 2024 ACF Fall at Cornell | fall | Y | 9 | 100% | 0% | 33% | 95.11 |
| 2024 ACF Fall at Illinois | fall | Y | 9 | 100% | 0% | 11% | 69.56 |
| 2024 ACF Fall at Rutgers | fall | Y | 8 | 100% | 0% | 38% | 67.63 |
| 2024 ACF Fall at Ohio State | fall | Y | 7 | 100% | 0% | 14% | 76.86 |
| 2024 ACF Fall at Washington | fall | Y | 6 | 100% | 0% | 50% | 67.17 |
| 2024 ACF Fall at Georgia | fall | Y | 11 | 100% | 0% | 36% | 93.55 |
| 2024 ACF Fall at North Carolina | fall | Y | 9 | 100% | 0% | 44% | 94.78 |