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f(x)=sec 2 x-tan 2 x and g(x)=sin 2 x+cos 2 x . Show that they are identical or non identical function.

 f(x)=sec2x-tan2x and g(x)=sin2x+cos2x . Show that they are identical or non identical function.

Grade:11

2 Answers

Aditya Gupta
2081 Points
5 years ago
two functions are identical iff they have exactly same domain and are equal to each other in that domain. but since the domain of f(x)=sec2x-tan2x does not include x=pi/2 while it is a valid point in the domain of  g(x)=sin2x+cos2x, hence these two functions are NON IDENTICAL
Aditya Mitra
35 Points
5 years ago
Domain of f(x) is R-{n(pi/2)} where n is any integer
Domain of g(x) is R
Since domains are not equal, f(x) and g(x) are not identical.

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