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The basic sine and cosine functions have a period of 2π. The function sinx is odd, so its graph is symmetric about the origin. The function cosx is even, so its graph is symmetric about the y -axis. The graph of a sinusoidal function has the same general shape as a sine or cosine function.
The graph of y=sin(x) is like a wave that forever oscillates between -1 and 1, in a shape that repeats itself every 2π units. Specifically, this means that the domain of sin(x) is all real numbers, and the range is [-1,1]. See how we find the graph of y=sin(x) using the unit-circle definition of sin(x).
Graphs of Sine, Cosine and Tangent. A sine wave made by a circle: A sine wave produced naturally by a bouncing spring: Plot of Sine. 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. Plot of Cosine.
The sin graph is a visual representation of the sine function for a given range of angles. The horizontal axis of a trigonometric graph represents the angle, usually written as \theta , and the y -axis is the sine function of that angle.
In this article, we will learn the basic properties of sin x, sine graph, its domain and range, derivative, integral, and power series expansion. The sine function is a periodic function and has a period of 2π.
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.
Graph the Sine and Cosine functions on the coordinate plane using the unit circle. Determine the domain and range of the Sine and Cosine function. Determine the period of the Sine and Cosine Function.
