Which of the following pair(s) of function have same graphs? `f(x)=(secx)/(cosx)-(tanx)/(cotx),g(x)=(cosx)/(secx)+(sinx)/(c o s e c x)`

int(secx)/(1+c o s e c x)dx

Check whether following pairs of function are identical or not? f(x)=tanx and g(x)=1/(cotx)

Which of the following functions is (are) even, odd or neither: f(x)=sinx-cosx

Find the period of the following functions: f(x)=((1+sinx)(1+secx))/((1+cosx)(1+cosecx))

Differentiate the following function with respect of x : (x+sinx)/(x+cosx)

Differentiate the following function with respect of x :(sinx+cosx)/(sinx-cosx)

Differentiate the following function with respect of x :(secx-1)/(secx+1)

Differentiate the following function with respect of x :(secx-1)/(secx+1)

Differentiate the following function with respect of x :(secx-1)/(secx+1)

Find the periods (if periodic) of the following functions, where [.] denotes the greatest integer function f(x)=(abs(sinx+cosx))/(abs(sinx)+abs(cosx))