60 likes | 238 Views
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 ! #27 x = 0.52, 2.62 #29 x = 0.93, 2.21 #31 x = 0.93, 5.36 #33 x = 0.60, 2.54
E N D
Pg. 346/352 Homework • Pg. 352 #13 – 22, 45, 46Study for trig memorization quiz. Hand draw graphs of the six trig functions and include domain, range, period, and asymptotes.|Test on Thursday, March 1st! • #27x = 0.52, 2.62 #29 x = 0.93, 2.21 • #31 x = 0.93, 5.36 #33 x = 0.60, 2.54 • #35 x = 0.79, 3.93 #37 x = 1.70, 3.14, 4.60 • #39 0 ≤ x ≤ 0.64, 2.50 ≤ x ≤ 6.28 • #41 0 ≤ x ≤ 2.28, 4.03 ≤ x ≤ 6.28 • #7 period = π/2 #8 period = π/3 • #9 period = π #10 period = 4π • #11 period = 2π/3 #12 period = 2π
6.3 Graphs of sin x and cosx Amplitude and Period Length Graph one Period Length: y = -4sin(4x)y = cos(0.5x) – 1 • State the amplitude and Period Length:y = 8sin(3x)y = -3cos(0.25x)y = -½sin(2.5x) + 1
6.4 Graphs of the Other Trig Functions Graphing tan x Graphing cot x What are the values to “worry about” with cot x? Graph cot x. What is the period length? • What are the values to “worry about” with tan x? • Graph tan x.
6.4 Graphs of the Other Trig Functions Graph of sec x and cscx Graph cscx. • Since sin x and cosx 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.
6.4 Graphs of the Other Trig Functions What are the domain and range for each function? What is the period length for each function? • Graph sec x.
6.4 Graphs of the Other Trig Functions Period Length for “Other” trigs Examples: Find all solutions for the following:cscx = -1.6 tan x = 2.5 • For y = tan bx or y = cot bxperiod = • For y = sec bx or y = cscbxperiod =