The Sine Function has this beautiful up-down curve (which repeats every 2 π radians, or 360°). It starts at 0, heads up to 1 by π /2 radians (90°) and then heads down to −1.

A sine wave, sinusoidal wave, or sinusoid (symbol: ∿) is a periodic wave whose waveform (shape) is the trigonometric sine function. In mechanics, as a linear motion over time, this is simple harmonic motion; as rotation, it corresponds to uniform circular motion.

正弦曲線 或 正弦波 （Sinusoid ／ Sine wave）是一種來自 數學 三角函數 中的正弦比例的曲線。 也是 模拟信号 的代表，與代表 數位信號 的 方波 相對。 正弦曲線 的形狀就像完美的海上波浪，以 三角函數 正弦比例改變而形成。 標準的純正弦函數公式為. sin (x) 為 正弦函數。 而一般應用的正弦曲線公式為. A 為 波幅 （縱軸）， ω 為 角频率， t 為 時間 （橫軸），θ為初始 相位 (t=0时的)。 以下的公式則擁有全部的可用參數. k 為 波數 （周期密度）， D 為（直流）偏移量（y軸高 …

2021年5月28日 · In this section, we will interpret and create graphs of sine and cosine functions. Recall that the sine and cosine functions relate real number values to the x x - and y y -coordinates of a point on the unit circle. So what do they look like on a graph on a coordinate plane? Let’s start with the sine function.

一句话： 正弦是一种自然摆动，象征着平滑，它使得圆很“圆”，如. 拨开知识的层层密林，探寻美妙数学中的趣味. 翻译小组成员介绍: Alex Alex，英语爱好者，现工作于洛阳 文章: http://betterexplained.com/articles/intuitive-understanding-of-sine-waves/ 译者: Alex 校对: 向海飞正弦波的直观解释 Intuitive Understanding…

To graph the sine function, we mark the angle along the horizontal x axis, and for each angle, we put the sine of that angle on the vertical y-axis. The result, as seen above, is a smooth curve that varies from +1 to -1. Curves that follow this shape are …

The term sinusoidal is used to describe a curve, referred to as a sine wave or a sinusoid, that exhibits smooth, periodic oscillation. Sinusoids occur often in math, physics, engineering, signal processing and many other areas.

In the chapter on Trigonometric Functions, we examined trigonometric functions such as the sine function. In this section, we will interpret and create graphs of sine and cosine functions. Recall that the sine and cosine functions relate real number values to the x – and y -coordinates of a point on the unit circle.

A sine wave, or sinusoid, is the graph of the sine function in trigonometry. A sinusoid is the name given to any curve that can be written in the form (A and B are positive). Sinusoids are considered to be the general form of the sine function.

The graph of the sine function gives a visual illustration of how it determines the height of an object from a horizontal axis. Imagine an object moving counterclockwise along the circumference of the unit circle.