secant
secant — 名詞
- secantsingular
- secantsplural
1. In a right triangle, when you divide the hypotenuse by the side beside a chosen
正割
直角三角形斜邊與鄰邊的比值
In a right triangle, when you divide the hypotenuse by the side beside a chosen acute angle, the result is the secant of that angle. In trigonometry, the function sec θ equals 1 over the cosine of the same angle.
Wei found the secant of 30° by dividing the hypotenuse by the adjacent side.
Wei 用斜邊除以鄰邊，算出 30 度的正割值。
secant + of + angle for trigonometric ratio
The secant of 60° equals 2, so the hypotenuse is twice the length of the adjacent side.
60 度的正割值等於 2，因此斜邊長度是鄰邊的兩倍。
For her maths quiz, Beatriz calculated the secant of a 75° angle on a scientific calculator.
為了數學小考，Beatriz 用工程計算機算出了 75 度角的正割值。
The students learned that the secant function can be written as sec θ = 1 divided by cos θ.
學生們學到正割函數可以寫成 sec θ = 1 除以 cos θ。
Talia solved her trigonometry homework: if cos 60° equals 0.5, then sec 60° must be 2.
Talia 寫三角函數作業時發現：若 cos 60° 等於 0.5，則 sec 60° 就等於 2。
文法句型
the secant of [angle]
sec [angle]
用法筆記
In mathematical notation, a secant value is usually written as "sec" followed by the angle, for example sec 30° or sec(π/4). This sense is almost always used with the definite article when describing the function in general: "the secant of 30°".
常見錯誤
2. In geometry, any line that cuts a curve or shape in two or more different places
割線
與曲線相交於兩點或以上的直線
In geometry, any line that cuts a curve or shape in two or more different places. In circle geometry, a secant enters and exits the circle at two distinct points on its circumference.
Kwame drew a secant through the circle, marking both points where it crossed the edge.
Kwame 畫了一條割線穿過圓形，並標出與圓周相交的兩個點。
a secant through [shape]
A tangent touches a circle once, but a secant crosses it at two points.
切線與圓只接觸一次，但割線會穿過圓與其相交於兩點。
The diagram showed a secant cutting through a parabolic curve at two separate locations.
圖中顯示一條割線穿過一條拋物線，與之交於兩處。
Linh asked if a line touching a circle once is a secant or a tangent.
Linh 問一條與圓只接觸一次的直線是割線還是切線。
In the graph, the secant line crossed the curve at points P and Q.
在圖表中，這條割線與曲線相交於 P 點和 Q 點。
- tangent
A tangent touches a curve at one point; a secant crosses at two or more points.
文法句型
a secant through [shape]
draw a secant
用法筆記
Often contrasted with tangent, which touches a curve at only one point. A secant that crosses a circle at two points can be seen as a chord extended in both directions beyond the circle's edge.