Question
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■
ANSWER: cosine [or cosine of x or coshin or coshine of x or hyperbolic cosine or hyperbolic cosine of x; accept any variable in place of x]
<Other Science>
= Average correct buzz position
Buzzes
Player | Team | Opponent | Buzz Position | Value |
---|---|---|---|---|
Andrew Harms (DII) | Michigan State A | Michigan State B | 44 | 10 |
Arjun Saulnier (DII) | CWRU B (DII) | Miami A (UG) | 68 | 10 |
Andrew Stappenbeck (DII) | CWRU A (UG) | West Virginia A (UG) | 68 | 10 |
Dennis Yang (DII) | Michigan A (UG) | Michigan B (UG) | 69 | 10 |
Beckett Gilmore (DII) | Jefferson County Scholars (DII) | Michigan C | 87 | 10 |
Elijah Quan (DII) | Michigan C | Jefferson County Scholars (DII) | 87 | -5 |
Yuki Brown (DII) | Miami B (UG) | Ohio State B (DII) | 87 | 10 |
Matthew Kelley (DII) | Michigan D (UG) | West Virginia B (UG) | 100 | 10 |
Kenny Shaffer (UG) | Ohio State A (UG) | CWRU C (UG) | 102 | 10 |
Summary
2024 ACF Fall at Cornell | fall | Y | 9 | 100% | 0% | 33% | 95.11 |
2024 ACF Fall at Ohio State | fall | Y | 8 | 100% | 0% | 13% | 78.13 |
2024 ACF Fall at Washington | fall | Y | 6 | 100% | 0% | 50% | 67.17 |
2024 ACF Fall at Georgia | fall | Y | 12 | 100% | 0% | 33% | 89.42 |
2024 ACF Fall at North Carolina | fall | Y | 9 | 100% | 0% | 44% | 94.78 |
2024 ACF Fall at Claremont Colleges | fall | Y | 5 | 100% | 0% | 20% | 58.20 |
2024 ACF Fall at Rutgers | fall | Y | 9 | 100% | 0% | 33% | 68.67 |
2024 ACF Fall at Illinois | fall | Y | 9 | 100% | 0% | 11% | 69.56 |