Explaining if the tangent function is a continuous function or not

The video tutorial revisits the concept of tangent and its asymptotes, using the unit circle as a reference. It explains how tangent is defined as y/X and identifies angles where asymptotes occur. The instructor sketches the tangent graph, highlighting the asymptotes and discussing the function's continuity within specific intervals. Practical tips are provided for understanding graphs, emphasizing the importance of visualizing them without relying solely on calculators.

Explain how the tangent function is defined in terms of the unit circle.

What are the asymptotes for the tangent function?

What does it mean for the tangent function to be undefined at certain points?

How does the graph of the tangent function differ from that of the logarithm function in terms of asymptotes?

Describe the continuity of the tangent function within the interval -π/2 to π/2.