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 (10[1])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 (10[2])one-half (10[1])x-squared. For a complex number of modulus one, this function of the argument is the number’s real part. (10[2]-5[1])Pythagoras’ theorem is a special case of a law named after this function. (10[1])The reciprocal (10[1])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

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Buzzes

PlayerTeamOpponentBuzz PositionValue
Andrew Harms (DII)Michigan State A Michigan State B 4410
Andrew Stappenbeck (DII)CWRU A (UG) West Virginia A (UG) 6810
Arjun Saulnier (DII)CWRU B (DII) Miami A (UG) 6810
Dennis Yang (DII)Michigan A (UG) Michigan B (UG)6910
Beckett Gilmore (DII)Jefferson County Scholars (DII)Michigan C 8710
Elijah Quan (DII)Michigan C Jefferson County Scholars (DII)87-5
Yuki Brown (DII)Miami B (UG) Ohio State B (DII) 8710
Matthew Kelley (DII)Michigan D (UG)West Virginia B (UG) 10010
Kenny Shaffer (UG)Ohio State A (UG) CWRU C (UG)10210

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