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Which of the following is/are correct ? ...

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)`

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