Question
Jamshid al-Kashi was the first to provide an explicit statement of a “law” named for this function. For 10 points each:
[10m] Name this function, whose namesake “law” finds the third side of any triangle given the other two sides and the angle in between them.
ANSWER: cosine
[10e] For right triangles, the Law of Cosines will simplify to the Pythagorean theorem because the cosine of this many degrees equals zero. In a right triangle, one of the angles must be equal to this many degrees.
ANSWER: 90 degrees
[10h] The hyperbolic analog of the cosine function, given by e to the x plus e to the negative x over two, defines this type of curve, which resembles a piece of rope hanging freely from two points, pulled down by only its weight.
ANSWER: catenary curve
<Science - Other Science - Math>
Data
| Team | Opponent | Part 1 | Part 2 | Part 3 | Total |
|---|---|---|---|---|---|
| Hunter A | East Brunswick A | 10 | 10 | 10 | 30 |
Summary
| Tournament | Edition | Exact Match? | Heard | PPB | Easy % | Medium % | Hard % |
|---|---|---|---|---|---|---|---|
| 2024 FARSI @ Columbia | 12/08/2024 | Y | 1 | 30.00 | 100% | 100% | 100% |