The Inverse Sine, Cosine and Tangent graphs are: Inverse Sine. Inverse Cosine. Inverse Tangent. Here is Cosine and Inverse Cosine plotted on the same graph: Cosine and Inverse Cosine. They are mirror images (about the diagonal)! The same is true for Sine and Inverse Sine and for Tangent and Inverse Tangent. Can you see this in the graphs above?

The sine and cosine functions have several distinct characteristics: They are periodic functions with a period of \(2\pi\). The domain of each function is \((−\infty,\infty)\) and the range is \([ −1,1 ]\). The graph of \(y=\sin\space x\) is symmetric about the origin, because it is an odd 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. So what do they look like on a graph on a …

The sine and cosine graphs both have range \( [-1,1]\) and repeat values every \(2\pi\) (called the amplitude and period). However, the graphs differ in other ways, such as intervals of increase and decrease.

These lessons, with videos, examples and step-by-step solutions, help Algebra 2 students learn how to graph the Sin, Cos, Tan, Sec, Csc, and Cot functions. The following diagrams show the graphs the trig functions: sin, cos, tan, csc, sec, and cot. Scroll down the page for more examples and solutions on trig function graphs.

Graphs of Trigonometric Functions: Sine, Cosine, Tangent, Cosecant, Secant, and Cotangent.

When sketching graphs of y = sin x and y = cos x and the upcoming transformations of these graphs, we will focus on sketching five specific points on one complete cycle of the graph with the understanding that this cycle repeats itself indefinitely. These five points evenly divide one cycle of the sine or cosine curve into fourths or quarters.

When hand-drawing the graphs of sine and cosine, draw vertical dotted lines at intervals to remind you of the connection to the four quadrants from the unit circle and to keep your graphs accurate. (Such dotted lines will resemble the dashed vertical grid lines in the graphs below.) The sine and cosine functions take on y-values between -1 and +1.

Just as with the sine graph, the cosine graph above repeats itself as a wave, up and down, forever. And just as with the sine ratio that we converted into a function, we have now been able to extend the cosine ratio into a cosine function, designated " cos() " …