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What are the Key Characteristics of the Tangent Graph That Every Student Should Know?

The tangent graph has some important features that every Year 12 student should know about:

  1. Repeating Pattern: The tangent function has a repeating pattern, called a period. Its period is π\pi, which means that the graph looks the same every π\pi radians.

  2. Vertical Lines: There are special vertical lines called asymptotes where the tangent function does not have any value. These happen at points like x=π2+nπx = \frac{\pi}{2} + n\pi, where nn can be any whole number.

  3. Points Where It Crosses: The tangent function crosses the x-axis at certain points. These points are x=nπx = n\pi, where nn is again any whole number.

  4. Curvy Shape: The graph of the tangent function has a wavy shape, moving up and down between the vertical lines (the asymptotes).

A graph example would really help to show these features!

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What are the Key Characteristics of the Tangent Graph That Every Student Should Know?

The tangent graph has some important features that every Year 12 student should know about:

  1. Repeating Pattern: The tangent function has a repeating pattern, called a period. Its period is π\pi, which means that the graph looks the same every π\pi radians.

  2. Vertical Lines: There are special vertical lines called asymptotes where the tangent function does not have any value. These happen at points like x=π2+nπx = \frac{\pi}{2} + n\pi, where nn can be any whole number.

  3. Points Where It Crosses: The tangent function crosses the x-axis at certain points. These points are x=nπx = n\pi, where nn is again any whole number.

  4. Curvy Shape: The graph of the tangent function has a wavy shape, moving up and down between the vertical lines (the asymptotes).

A graph example would really help to show these features!

Related articles