sec and csc

• (2𝑛 + 1)π/2, n is an element of Z 


  vertical asymptote of y = sec x
• X int of y = sec x

  None
• X int of y = csc x

  None
• Y int of y = csc x

  None
• Y int of y = sec x 


  (0,1)
• Domain of y = sec x ​

  {x | x ≠ [va], n is an element of Z}
• Period of y = sec x and y = csc x

  2π/b
• Amp of y = sec x 


  None
• Range of y = sec x and y = csc x

  (-∞, -(|a| +k)] U [(|a| + k), +∞)
• y = sec x: even or odd

  Even function
• Cos and sec functions start at ___

  Amplitude
• x = nπ, n is an element of Z

  va of y = csc x
• Domain of y = csc x


  { x | x ≠ [va], n is an element of Z}
• Amplitude of y = csc x

  none
• y = csc x: even or odd function?

  Odd function
• why do the graphs of sec and csc have no amplitude?

  these graphs do not have na max and min value
• If the graph of y = a sec bx is reflected about the x-axis, then the

  new function is

  y = −a sec(bx)
• If the function y = −a sec bx is shifted h units to the right, where

  h > 0, then the function becomes

  y = −a sec b x − h
• If the y = −a sec b x − h is shifted k units upward, where k > 0,

  then the function becomes

  y = −a sec b x − h + k.
• If the graph of y = a csc bx is reflected about the x-axis, then the

  new function is

  y = −a csc (bx)