PreCalculus
4.6 Graphs of Other Trig Functions p. 298
Check word problems from yesterday.
p.296 (75, 76)
Discuss that the Tangent function is created by the quotient of Sine over Cosine.
Since the Cos can equal zero, this influences our Domain and also introduces vertical asymptotes to the graph
Show how a sin/cos Unit Circle can easily be used to find the tan values at the main angles.
Note that the Period of Tan(x) is pi... look at how the positive and negative sin/cos values in the 4 quadrants make this so. Remind them that the period of the Tan function is pi ---> half that of the sin/cos -2 pi.
Quickly look at the graph of the tangent and cotangent functions
Discuss how to indicate that the vertical asymptotes are given by x = pi/2 + npi
Discuss the Domain being x not equal to pi/2 + npi
Discuss how the Range is all Reals (pos infinity to neg infinity)
Work p. 305 (3,5,7-10, 29, 67, 69)
Bridge Math
Using Formulas
Convert between Celcius and Faren. in various problems
Work problems from worksheet 01, worksheet 02, and worksheet 03.
Geometry
Finish Constructions worksheet from yesterday.
Focus on constructing
Perpendicular Bisector of line segment
Perp. line thru a given point not on the line
Parallel line thru a point not on the line.
Finish worksheet. Also provide additional related problems from board.