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 |
---|---|---|---|---|
David Zhang | Illinois B | Indiana | 34 | 10 |
Ishaan Singh | Purdue B | Chicago B | 37 | 10 |
Maya Kvaratskhelia | Notre Dame A | Notre Dame C | 41 | 10 |
Jiping Fang | Illinois A | Northwestern A | 44 | 10 |
Sebastian Pujet | WashU A | Purdue C | 49 | -5 |
Steven Song | Illinois C | Illinois D | 70 | 10 |
Matthew Westley | Purdue A | Notre Dame B | 70 | 10 |
Sam Hewitt | WashU B | Iowa B | 100 | 10 |
Ezra Santos | Chicago A | Iowa A | 106 | 10 |
David Nickel | Purdue C | WashU A | 124 | 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 |