15769686-PC-Grphs-of-Trig-fx

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

This preview shows pages 1–6. Sign up to view the full content.

Graphs of Trigonometric Functions

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
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
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

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
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
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 ].

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 14

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

This preview shows document pages 1 - 6. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online