Pg. 346/352 Homework Pg. 352 #13 – 22, 45, 46 Study for trig memorization quiz. Hand draw graphs of the six trig functions and include domain, range, period, and asymptotes.| Test on Thursday, March 1 st ! #27x = 0.52, 2.62#29x = 0.93, 2.21 #31x = 0.93, 5.36#33x = 0.60, 2.54 #35 x = 0.79, 3.93#37x = 1.70, 3.14, 4.60 #390 ≤ x ≤ 0.64, 2.50 ≤ x ≤ 6.28 #410 ≤ x ≤ 2.28, 4.03 ≤ x ≤ 6.28 #7period = π/2#8period = π/3 #9period = π #10period = 4π #11period = 2π/3 #12period = 2π

6.3 Graphs of sin x and cos x Amplitude and Period Length State the amplitude and Period Length: y = 8sin(3x) y = -3cos(0.25x) y = -½sin(2.5x) + 1 Graph one Period Length: y = -4sin(4x) y = cos(0.5x) – 1

6.4 Graphs of the Other Trig Functions Graphing tan x What are the values to “worry about” with tan x? Graph tan x. Graphing cot x What are the values to “worry about” with cot x? Graph cot x. What is the period length?

6.4 Graphs of the Other Trig Functions Graph of sec x and csc x Since sin x and cos x are periodic functions, it makes sense that their reciprocal identities would be as well. When either function heads towards zero, their reciprocal heads towards an infinity. Otherwise the reciprocal function takes on the reciprocal value. Graph csc x.

6.4 Graphs of the Other Trig Functions Graph sec x. What are the domain and range for each function? What is the period length for each function?

6.4 Graphs of the Other Trig Functions Period Length for “Other” trigs For y = tan bx or y = cot bx period = For y = sec bx or y = csc bx period = Examples: Find all solutions for the following: csc x = -1.6 tan x = 2.5