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Warm-Up: February 3, 2014

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

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  1. Warm-Up: February 3, 2014 • Determine the amplitude, period, phase shift, and vertical shift of

  2. Homework Questions?

  3. Trig Function Values Quiz • 8 minute time limit • All or nothing • Must be turned in before the alarm sounds

  4. Graphs of Other Trigonometric Functions Section 4.6

  5. 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

  6. y=tan(x)

  7. 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

  8. y=cot(x)

  9. 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

  10. y=csc(x)

  11. 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

  12. y=sec(x)

  13. Report Cards

  14. Assignment • Page 506 #1-4, 13-16, 51, 54

  15. 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.

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