a) Find domain and range of the function log(cosecx+1)(2-[sinx]-[sinx]^2). [*], symbol represents greatest integer.
b) Let f(x) = x^2+kx; k is a real number .the set of real values of k for which the equation f(x)=0 and f(f(x))=0 have same real solution set.
c) Find domain and range of the function f(x)= ( sin ^-1modsinx-cos^-1modcosx)^1/2.
I can discuss all of the above in virtual classroom session today.
Further to the live online discussion, here is the graph for part (a) for the interval 0 to \(2\pi\) for the function log(2-floor(sin(x))-(floor(sin(x)))2)/log(1/sin(x)+1) where range can be seen.
123iitjee_forum_domain_range_problem.gif
Thank you sir.