20100729 Thu

Covered sections 5.4, 5.5, 5.6. Also discussed a little bit of asymptotes again, as well as emphasized determining the domain and range of functions. In particular, I discussed the domain and range of inverse functions.

Key Concepts:
Section 5.4
pg 465 Definition: Tangent, Cotangent, Secant, and Cosecant Functions
pg 465 Identities from the Definitions
Section 5.5
pg 477 Definition: The Inverse Sine Function
pg 479 Definition: The Inverse Cosine Function
pg 480 Inverses of Tangent, Cotangent, Secant, and Cosecant
pg 481 Function Gallery
pg 482 Identities for the Inverse Functions
Section 5.6
pg 490 Thoerem: Trigonometric Functions of an Acute Angle of a Right Triangle

Homework:
Section 5.4 1-89, every 8; Also 2, 3-28 ("Undefined" is a possible answer),
Section 5.5 1-97, every 8; Skip 49, 57, 81, 89; Also 65-79 Odd, 93-98
Section 5.6 1-57, every 8
Due Monday

[20100805]
I might have learned on this day that the signs of Sin(x), Cos(x), and Tan(x) in quadrants I, II, III, and IV, can be given by ASTC (All Students Take Calculus). That is "All" are positive, only "Sine" is positive, only "Tangent" is positive, and finally only "Cosine" is positive, in quadrants I, II, III, and IV, respectively.