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Domain and Range of trigonometric functions





Domain and Range of trigonometric functions

  1. y=f(x)= Sin(x)
    Domain : It is defined for all real values of x
    Range : -1 ≤ y ≤ 1
    Period:2π
    It is a odd function
    graph of sin(x) function
  2. y=f(x)= cos(x)
    Domain : It is defined for all real values of x
    Range : -1 ≤ y ≤ 1
    Period:2π
    It is even function
    graph of cos(x) function

  3. ) y=f(x)=tan(x)
    Domain : It is defined for all real values of x except x ≠(2n + 1)(π/2) where n is any
    Range : All the real numbers
    Period:π
    It is a odd function
    graph of tan(x) function
  4. y=f(x)=cot(x)
    Domain : It is defined for all real values of x except x ≠nπ, where n is any integer
    Range : All the real numbers
    Period:π
    It is a odd function
    graph of cot(x) function
  5. y=f(x)=sec(x)
    Domain : It is defined for all real values of x except x ≠(2n + 1)(π/2) where n is any integer
    Range : (-∞,-1] ∪ [1,∞)
    Period:2π
    It is even function
    graph of sec(x) function
  6. y=f(x)=cosec(x)
    Domain :It is defined for all real values of x except x ≠nπ, where n is any integer
    Range : (-∞,-1] ∪ [1,∞)
    Period:2π
    It is odd function
    graph of cosec(x) function




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