Section+1.7

Today in class we discussed the tangent function. We all know that: math \tan \Theta=\frac{\sin \Theta }{\cos \Theta } math The domain of tangent is: math \left \{ x\epsilon \mathbb{R}\left | \cos x\neq 0 \right math math \left \{ x\epsilon \mathbb{R}\left | \frac{\pi}{2}+k\pi ,k\epsilon \mathbb{Z} \right math math \left \{ \frac{\pi }{2} +k\pi ,k\epsilon \mathbb{Z}\right math

Next we did the in-class experiment using GeoGebra where we learned that the point where the tangent of the unit circle and the line that crosses it through a point on the circle and the center is equal to the tangent of the arc length of the point and (1,0).

__For You to Do:__

3. The Y-coord, of point T is the same as the tangent of the arc length. 4. As you drag this along the point is undefined at (0,1). 5. math $ \tan^{-1}=arc length $ math then sine and cosine of that number.