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Warm-Up: February 3, 2014. Determine the amplitude, period, phase shift, and vertical shift of. Homework Questions?. Trig Function Values Quiz. 8 minute time limit All or nothing Must be turned in before the alarm sounds. Graphs of Other Trigonometric Functions. Section 4.6.
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Warm-Up: February 3, 2014 • Determine the amplitude, period, phase shift, and vertical shift of
Trig Function Values Quiz • 8 minute time limit • All or nothing • Must be turned in before the alarm sounds
Graphs of Other Trigonometric Functions Section 4.6
Graph of y = tan(x) • Period = π • Vertical asymptotes at odd multiples of π/2 • Domain = all real numbers except odd multiples of π/2 • Range = all real numbers • Has x-intercepts at multiples of π • Has y-intercept at origin • Odd function with origin symmetry • Points with x-coordinates that are odd multiples of π/4 have y-coordinate=±1
Graph of y = cot(x) • Period = π • Vertical asymptotes at multiples of π • Domain = all real numbers except multiples of π • Range = all real numbers • Has x-intercepts at odd multiples of π/2 • No y-intercept • Odd function with origin symmetry • Points with x-coordinates that are odd multiples of π/4 have y-coordinate=±1
Graph of y = csc(x) • Period = 2π • Vertical asymptotes at multiples of π • Domain = all real numbers except multiples of π • Range = (-∞, -1] U [1, ∞) • No x-intercepts • No y-intercept • Odd function with origin symmetry
Graph of y = sec(x) • Period = 2π • Vertical asymptotes at odd multiples of π/2 • Domain = all real numbers except odd multiples of π/2 • Range = (-∞, -1] U [1, ∞) • No x-intercepts • y-intercept = 1 • Even function with y-axis symmetry
Assignment • Page 506 #1-4, 13-16, 51, 54
Assignment Details • 1-4 and 13-16 are matching graphs with equations (both given in the book). • 51) Without drawing a graph, describe the behavior of the basic tangent curve. • 54) Without drawing a graph, describe the behavior of the basic cotangent curve.