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

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

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

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