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Trigonometric function
三角函数
Trigonometric functions are a common class of functions in terms of angle. The trigonometric function associates the inner angle of the right-angled triangle with the ratio of its two edges, or equivalently the length of the various segments associated with the unit circle. The trigonometric function plays an important role in the study of the properties of triangles and circular geometries, and is also a basic mathematical tool for studying periodic phenomena. In mathematical analysis, trigonometric functions are also defined as infinite series or solutions of specific differential equations, allowing their values to extend to any real number, or even complex values. Common trigonometric functions include sine function (), cosine function () and tangent function (or). In the other disciplines such as maritime studies, surveying, engineering and other disciplines, other trigonometric functions such as the residual function, the tangent function, the remainder function, the normal vector function, the semipotential function, and so on are used. The relationship between different trigonometric functions can be obtained by geometric intuition or calculation, called the trigonometric identity. ... 三角函数是数学中常见的一类关于角度的函数。三角函数将直角三角形的内角和它的两个边的比值相关联，也可以等价地用与单位圆有关的各种线段的长度来定义。三角函数在研究三角形和圆等几何形状的性质时有重要作用，也是研究周期性现象的基础数学工具。在数学分析中，三角函数也被定义为无穷级数或特定微分方程的解，允许它们的取值扩展到任意实数值，甚至是复数值。 常见的三角函数包括正弦函数（）、余弦函数（）和正切函数（或者）。在航海学、测绘学、工程学等其他学科中，还会用到如余切函数、正割函数、余割函数、正矢函数、半正矢函数等其他的三角函数。不同的三角函数之间的关系可以通过几何直观或者计算得出，称为三角恒等式。...
Trigonometric function, also known as "circular function." Let θ be an acute angle of a right triangle. the length of the opposite side of θ is a, the length of the adjacent side is b, the length of the hypotenuse is c, then the ac, bc, ab, ba, cb, ca are respectively referred to as sine, cosine, tangent, , I cut, followed by recorded as sinθ, cosθ, tgθ, ctgθ, secθ, cscθ, collectively referred to as acute trigonometric functions. If θ is an arbitrary angle, with its vertex as the origin and the start as the positive semi-axis of the x-axis, a rectangular coordinate system is established. Let p be any point on the final edge, and its distance from the origin r = x2 + y2, then the sine, cosine, tangent, cotangent, secant and secant of the angle θ are sinθ = yr, cosθ = xr, tgθ = yx, ctgθ = xy, secθ = rx, cscθ = ry, collectively referred to as an arbitrary trigonometric function. [hj] 三角函数 又称“圆函数”。设θ是直角三角形的一个锐角。θ的对边长为a,邻边长为b，斜边长为c，则比ac、bc、ab、ba、cb、ca分别称为锐角θ的正弦、余弦、正切、余切、正割、余割，依次记为sinθ、cosθ、tgθ、ctgθ、secθ、cscθ，统称为锐角三角函数。如果θ是任意角，以它的顶点为原点，始边为x轴的正半轴，建立直角坐标系。设p是终边上任意一点，它到原点的距离r＝x2+y2，则角θ的正弦、余弦、正切、余切、正割、余割分别为sinθ＝yr、cosθ＝xr、tgθ＝yx、ctgθ＝xy、secθ＝rx、cscθ＝ry，统称为任意角三角函数。[hj]
Click to see the original definition of «三角函数» in the Chinese dictionary.
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The translations of 三角函数 from Chinese to other languages presented in this section have been obtained through automatic statistical translation; where the essential translation unit is the word «三角函数» in Chinese.
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Examples of use in the Chinese literature, quotes and news about 三角函数
EXAMPLES
5 CHINESE BOOKS RELATING TO «三角函数»
Discover the use of 三角函数 in the following bibliographical selection. Books relating to 三角函数 and brief extracts from same to provide context of its use in Chinese literature.
