please try to explain the domain & rangetable of different trigonometric function

Asked by hussain shaikh | 26th May, 2011, 05:23: PM

Expert Answer:

  1. f(x) = sinx(x)
  • domain : (-infinity , +infinity)
  • range : [-1 , 1]
  • period : 2Pi
 

f(x) = cos(x)

  • domain : (-infinity , +infinity)
  • range : [-1 , 1]
  • period : 2Pi

 

f(x) = tan(x)

  • domain : all real numbers except Pi/2 + k*Pi where k is an integer.
  • range : (-infinity , +infinity)
  • period : Pi
  • vertical asymptotes at x = Pi/2 + k*Pi, k is an integer.

 

f(x) = cot(x)

  • domain : all real numbers except k*Pi where k is an integer.
  • range : (-infinity , +infinity)
  • period : Pi
  • vertical asymptotes at x = k*Pi, k is an integer.

 

f(x) = sec(x)

  • domain : all real numbers except Pi/2 + k*Pi where k is an integer.
  • range : (-infinity , -1] U [1 , +infinity)
  • period : 2Pi
  • vertical asymptotes at x = Pi/2 + k*Pi, k is an integer.

 

f(x) = csc(x)

  • domain : all real numbers except k*Pi where k is an integer.
  • range : (-infinity , -1] U [1 , +infinity)
  • period : 2Pi
  • vertical asymptotes at x = k*Pi, k is an integer.

Answered by  | 26th May, 2011, 12:40: PM

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