Using the concept of the Squeeze Theorem we developed yesterday, we looked at the unit circle and found a triangle with sides of cos x and sin x, a sector of the circle that larger, and a larger still triangle that's tangent to the circle. (See student's class notes for drawings and more detailed explanation!) This allowed us to set up a three-part inequality based on area relationships, which could then be algebraically maneuvered into the functions in question. The big question remaining: how do we come up with those boundary functions? -- think about restrictions on sine and cosine ranges, the definition of absolute value inequalities, or maybe it's hust luck! (NAAAAH!) This weekend finish up Page 103: $9-39 odd, and then 6-8.
Enjoy your Labor Day break!
