| 单词 | trigonometric function |
| 释义 | trigonometric function A function relating the properties of triangles to their angles. The sine of an angle x, written sin (x), is the ratio of the opposite side of an angle in a right-angled triangle to the hypotenuse (i.e. the longest side). x is the size of the angle measured in radians. The cosine, written cos (x), is the ratio of the adjacent side in the same triangle to the hypotenuse. The tangent, written tan (x), is the ratio of an angle's sine to its cosine. Trigonometric functions occur in the solutions to linear difference and differential equations of second order and above, whenever the roots are not all real. Sin (x) and cos (x) display regular oscillations as the angle increases; they can be expressed as infinite convergent series in x. In Figure 31 a circle of unit radius is drawn around the origin. Angles are measured from BC anti-clockwise. BE is at angle x, measured in radians (x = distance along the curve CE). ED = sin (x), BD = cos (x). |
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