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字词 三角函数
释义 三角函数sānjiǎo hánshù在直角三角形中,各边长度两两之间的比值是锐角的函数。每个锐角有六个三角函数,记做正弦(sin)、余弦(cos)、正切(tg)、余切(ctg)、正割(sec)、余割(csc)。例如锐角∠A的三角函数:
sinA=a/c, cosA=b/c, tgA=a/b, ctgA=b/a, secA=c/b, cscA=c/a。三角函数的概念可推广到任意角。对于任意角α,以角的顶点为原点,角的始边作X轴正方向,建立平面直角坐标系XOY,设P(x, y)为角α终边上任意一点,P点到原点距离为 r=(x2+y2)>0。则sinα=y/r, cosα=x/r, tgα=y/x, ctgα=x/y, secα=r/x, cscα=r/y。{circular function; trigonometric function; function expressed as the ratio of the sides of a right triangle, with each acute angle having six trigonometric functions — sine, cosine, tangent, cotangent, secant, and cosecant. For example, the trigonometric functions of the acute angle ∠A are sinA=a/c, cosA=b/c, tgA=a/b, ctgA=b/a, secA=c/b and cscA=c/a. The concept of trigonometric function can be extended to any angle. Take arbitrary angle α for example. Use the vertex of angleα as the origin, and its initial line as the positive direction of the axis X, and establish the plane right-angle coordinate system XOY. Suppose P(x, y) is an arbitrary point on the terminal line of α, and the distance from P to the origin is r=(x2+y2)>0. Then sinα=y/r, cosα=x/r, tgα=y/x, ctgα=x/y, secα=r/x, cscα=r/y}
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更新时间:2025/4/29 20:15:00