15769686-PC-Grphs-of-Trig-fx

15769686-PC-Grphs-of-Trig-fx - Graphs of Trigonometric...

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Graphs of Trigonometric Functions
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6. The cycle repeats itself indefinitely in both directions of the x -axis. Properties of Sine and Cosine Functions The graphs of y = sin x and y = cos x have similar properties: 3. The maximum value is 1 and the minimum value is –1. 4. The graph is a smooth curve. 1. The domain is the set of real numbers. 5. Each function cycles through all the values of the range over an x -interval of . π 2 2. The range is the set of y values such that . 1 1 - y
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Graph of the Sine Function To sketch the graph of y = sin x first locate the key points. These are the maximum points, the minimum points, and the intercepts. 0 -1 0 1 0 sin x 0 x 2 π 2 3 2 Then, connect the points on the graph with a smooth curve that extends in both directions beyond the five points. A single cycle is called a period . y 2 3 - - 2 - 2 2 3 2 2 5 1 - 1 x y = sin x
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Graph of the Cosine Function To sketch the graph of y = cos x first locate the key points. These are the maximum points, the minimum points, and the intercepts. 1 0 -1 0 1 cos x 0 x 2 π 2 3 2 Then, connect the points on the graph with a smooth curve that extends in both directions beyond the five points. A single cycle is called a period . y 2 3 - - 2 - 2 2 3 2 2 5 1 - 1 x y = cos x
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y 1 1 - 2 - 3 - 2 x π 3 2 - 4 Example : Sketch the graph of y = 3 cos x on the interval [– π , 4 π ].
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15769686-PC-Grphs-of-Trig-fx - Graphs of Trigonometric...

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