Q.

Which of the following pairs of functions is/are identical ? 

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a

f(x)=sgn(x) and g(x)=sgn(sgn(x))

b

f(x)=elnsec1x and g(x)=sec1x

c

f(x)=tantan1x and g(x)=cotcot1x

d

f(x)=cot2xcos2x and g(x)=cot2xcos2x

answer is A, B, C.

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Detailed Solution

Functions are equal they have same domain and range.

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Which of the following pairs of functions is/are identical ?