In these lessons, we will look at the graphs of the trigonometric functions: sine, cosine and tangent and how to determine the domain, range, and period of the sine, cosine, and tangent functions.
Properties of the sine graph, cosine graph and tangent graph
You may want to look at the lesson on unit circle, if you need revision on the unit circle definition of the trigonometric functions.
Graphs of the trig functions
A demonstration of the sine graph, cosine graph and tangent graph.
How to Graph the Sine and Cosine Functions?
Graph the Sine and Cosine functions on the coordinate plane using the unit circle.
Determine the domain and range of the sine and cosine functions.
Determine the period of the sine and cosine functions.
Graph the Tangent function and identify key properties of the function
Graph the Tangent function on the coordinate plane using the unit circle.
Determine the domain and range of the Tangent function.
Determine the period of the Tangent function.
Graphs of transformed sin and cos functions
This lesson shows examples of graphing transformed y = sin x and y = cos x graphs (including changes in period, amplitude, and both vertical & horizontal translations). There is also an example of how to graph y = tan x using the y = sin x and y = cos x functions.
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