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, (10[1])and the hyperbolic (10[1])form of this function (10[1])is the average (10[1])of e to the x (-5[1])and e to the minus x. The first two terms of this function’s Taylor series are one and minus one-half x-squared. (10[2])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. (10[1])The reciprocal of this function is (10[1])secant. For 10 points, name this trigonometric function that equals adjacent over hypotenuse in a right triangle. ■END■ (10[1])

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

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Buzzes

PlayerTeamOpponentBuzz PositionValue
David ZhangIllinois BIndiana3410
Ishaan SinghPurdue BChicago B3710
Maya KvaratskheliaNotre Dame ANotre Dame C4110
Jiping FangIllinois ANorthwestern A4410
Sebastian PujetWashU APurdue C49-5
Steven SongIllinois CIllinois D7010
Matthew WestleyPurdue ANotre Dame B7010
Sam HewittWashU BIowa B10010
Ezra SantosChicago AIowa A10610
David NickelPurdue CWashU A12410

Summary

2024 ACF Fall at CornellfallY9100%0%33%95.11
2024 ACF Fall at Ohio StatefallY8100%0%13%78.13
2024 ACF Fall at WashingtonfallY6100%0%50%67.17
2024 ACF Fall at GeorgiafallY12100%0%33%89.42
2024 ACF Fall at North CarolinafallY9100%0%44%94.78
2024 ACF Fall at Claremont CollegesfallY5100%0%20%58.20
2024 ACF Fall at RutgersfallY9100%0%33%68.67
2024 ACF Fall at IllinoisfallY9100%0%11%69.56