Section+1.8

Section 1.8 How to Graph Tangent

In class today, Ms. Tyson talked about how to graph the tangent function and what the main differences are between it and sine and cosine. The graph on the bottom represents a tangent function.

As you can see one of the main differences already shown on the graph compared to sine and cosine is that the period of tangent is only π, compared to 2π for both sine and cosine. The Domain of Tangent is also defined as: math \left \{ x\epsilon \mathbb{R}\left | x\neq \frac{\pi}{2}+k\pi ,k\epsilon \mathbb{Z} \right \} math The Range of tan is defined as: math (-\infty,\infty ) math

Finally we learned that tan(x)= -.4is located at point (1,-.4) shown similarly to the graph below:

Notice that there are two possible points for tan(x)=-.4 in the second and forth quadrant. Also worthy of noting is when tan θ gets larger tan(x) gets bigger.