正弦函数的图是美丽的波浪形曲线（每 2 π 弧度（360°）重复一遍）。 图从 0 开始，在 π /2 弧度（90°）上升到 1，然后降回 -1。 余弦和正弦一样，但图从 1 开始，下降到角的值为 π 弧度 （180°），然后再上升. 正弦和余弦就像 好朋友：一个跟着另一个，隔开的距离是刚好 " π /2" 弧度（90°）。 正切的图有完全不同的形状……它处于正与负 无穷大 之间，每 π 弧度（180°）经过 0 一次，像这样： 在 π /2 弧度（90°），和 - π /2、3 π /2 等等，正切函数是 未定义的，因为它 …

Use the form asin(bx−c)+ d a sin (b x - c) + d to find the variables used to find the amplitude, period, phase shift, and vertical shift. Find the amplitude |a| | a |. Find the period of sin(x) sin (x). Tap for more steps... Find the phase shift using the formula c b c b. Tap for more steps... List the properties of the trigonometric function.

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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. Cosine is just like Sine, but it starts at 1 and heads down until π radians (180°) and then heads up again.

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For the curve y = a sin x, We start with y = sin x. It has amplitude \displaystyle= {1} = 1 and period \displaystyle= {2}\pi = 2π. The graph of \displaystyle {y}= \sin { {\left ( {x}\right)}} y = sin(x) for \displaystyle {0}\le {x}\le {2}\pi 0 ≤ x≤ 2π. Now let's look at the graph of y = 5 sin x.

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 …

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本文介绍了三角函数sinx、cosx和tanx的基本概念，包括它们的图像特征、性质以及配套的练习题，帮助读者理解并掌握这些基本概念。 单调区间加 2kπ，对称轴加 kπ，这个确定的思路是，相同函数值，对应的 x 点之间的距离。 简便解法：将选项值代入，看看那个对应的 x1，x2，x3 复合条件即可。 文章浏览阅读9.2k次，点赞5次，收藏7次。 本文介绍了三角函数sinx、cosx和tanx的基本概念，包括它们的图像特征、性质以及配套的练习题，帮助读者理解并掌握这些基本概念。

The graph of y = sin x. The zeros of y = sin x are at the multiples of π. It is there that the graph crosses the x-axis, because there y = 0. And its period is 2 π. But what is the maximum value of the graph and what is its minimum value? sin x has a maximum value of 1 at , and a minimum of −1 at —and at all angles coterminal with them.