Which of the following is/are correct? `(tanx)^(I n(cosx)) < (cotx)^(I n(cosx)),AAx in (pi/4,pi/2)`

Which of the following is/are correct ? (a) (tanx)^(ln (cosx))lt(cotx)^(ln(cosx))AAx in(pi/4,pi/2) (b) (sinx)^(ln (secx))gt(cosx)^(ln(cosx))AA x in(0,pi/4) (c ) (sec. pi/3)^(ln (tanx))gt(sec. pi/3)^(ln(cosx))AA x in (pi/4,pi/2) (d) (1/2)^(ln(sinx))gt(3/4)^(ln(sinx))AA x in(0,pi/2)