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Graphs of sin, cos, tan

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  • Find period. y= -cos⁡(5/3 x-7π/2)-5
    6π/5
  • Which trig functions (sin, cos, tan) have the same domain AND what is it?
    sin and cos (-∞,∞)
  • y = 2 sin (5x - 3π) + 1 Find period.
    2π/5
  • Which trig functions (sin, cos, tan) have the same range AND what is it?
    sin and cos [-1,1]
  • What is the period of y = tan x?
    π
  • What is phase shift?
    The distance that the graph is out of phase with the parent function.
  • What is the period?
  • What is period?
    The horizontal distance for the graph to go through one cycle.
  • Given y = a sin (bx+c) + d, how do you calculate phase shift?
    -c/b
  • Find Phase shift. y= sin ⁡(5/3 x-7π/2)-5
    21π/10
  • Name the first vertical asymptote to the right of the y-axis. y = tan (3x + π) - 1
    π/6
  • Give y = a cos (bx+c) +d, how do you calculate period?
    2π/b
  • What is the range of y = tan 5x?
    (-∞, ∞)
  • Find period. y= tan ⁡(5/3 x-7π/2)-5
    3π/5
  • What is the amplitude?
    5
  • Name the first x-intercept to the right of the y-axis. y = -tan (3x+π/10)
    3π/10
  • Find the value of d.
    1
  • What is amplitude?
    Half the distance from the bottom to the top of the graph.
  • What is the period of y = cos x?
  • What is the range of the parent sine function?
    [-1, 1]
  • Given y = a cos (bx + c) + d, how do you calculate amplitude?
    |a|