CBSE Class 12-science Answered
please try to explain the domain & rangetable of different trigonometric function
Asked by hussain shaikh | 26 May, 2011, 05:23: PM
Expert Answer
- 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 | 26 May, 2011, 12:40: PM
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