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The sine and cosine functions have several distinct characteristics: They are periodic functions with a period of 2π. The domain of each function is (− ∞, ∞) and the range is [− 1, 1]. The graph of y = sin x is symmetric about the origin, because it is an odd function.
Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.
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.
We have seen how to determine the values of trigonometric functions for angles terminating in Quadrants II, III, and IV. This allows us to make a graph of the values of the sine function for any angle.
The sine function is used to represent sound and light waves in the field of physics. 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.
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.
Sine function is a trigonometric function that is equal to the ratio of perpendicular and hypotenuse of a right triangle. Learn sine function definition, formula, properties, values for different angles, at BYJU'S.
In graphing the sine function, I’ve walked you through a step-by-step process. Starting with identifying key properties such as periodicity and amplitude , I showed you how to use these to shape the graph correctly.
Learn trigonometry concepts such as right triangles, the unit circle, graphs, and identities with Khan Academy.
Explains the relationships between the trigonometric ratios for the sine and cosine, their functions, and the functions' horizontal versus circular graphs.