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

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

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Grade 11Algebra

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

Devyanshu

7 Years agoGrade 11

2 Answers

Aditya Gupta

Approved Tutor Answer7 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