Understanding the Tangent Graph

The video tutorial explains how to draw the tangent graph, starting with setting up the axes and marking key angles like 90, 180, and 270 degrees. It highlights the importance of asymptotes and demonstrates the periodic nature of the tangent function, repeating every 180 degrees. The tutorial also addresses common mistakes in graphing and provides tips for accurate representation.

What is a unique characteristic of the tangent graph compared to sine and cosine?

• It repeats every 360 degrees.

• It crosses the x-axis horizontally.

• It has vertical asymptotes.

• It is not periodic.

When setting up the axes for the tangent graph, what is the significance of the 360-degree mark?

• It is the midpoint of the graph.

• It is where the graph starts.

• It is where the graph intersects the y-axis.

• It represents the end of one period.

What are the angles where vertical asymptotes occur in the tangent graph?

• 90 and 270 degrees

• 60 and 300 degrees

• 0 and 180 degrees

• 45 and 225 degrees

Why can't the tangent graph exist at its asymptotes?

• The graph intersects the y-axis.

• The graph repeats its pattern.

• The graph becomes undefined.

• The graph becomes horizontal.

What is the purpose of marking 90, 180, and 270 degrees on the tangent graph?

• To determine the graph's height.

• To find the midpoint.

• To locate the asymptotes.

• To identify the start and end points.

How often does the tangent graph repeat its pattern?

• Every 360 degrees

• Every 180 degrees

• Every 90 degrees

• Every 270 degrees

What angle does the tangent graph make as it crosses the x-axis?

• 45 degrees

• 30 degrees

• 0 degrees

• 90 degrees

What is a common mistake when drawing the tangent graph?

• Drawing it as a straight line.

• Making it look like a sine wave.

• Drawing it with horizontal crossings.

• Confusing it with the x cubed graph.

How should the tangent graph be adjusted if it resembles the x cubed graph?

• Make it horizontal.

• Ensure it crosses at an angle.

• Increase the period.

• Add more asymptotes.

What should you do if your tangent graph does not look correct?

• Redraw it from scratch.

• Ignore it.

• Adjust the asymptotes.

• Rub it out and correct the shape.