Which of the following is/are correct ? `(tanx)^(log(sinx))>(C o t x)^(log(sinx)),AAx in (0,pi/4)`

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)

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)

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)

Which of the following is/are correct? (tanx)^ln(sinx)>(cotx)^ln(sinx) ,∀x∈(0,π/4) 4^ln(cosecx) 2^ln(sinx) ,∀x∈(0,π/2)

Integrate 1. cotx/(log(sinx)) 2. tanx/(log(secx))

Differentiate the following w.r.t. x : tan{log(sinx)}

Differentiate the following w.r.t. x : log(sinx)

int_(0)^(pi//2)log(sinx)dx=

Find the derivative of (sinx)^(log x)+x^(sinx) .

Differentiate the following w.r.t.x: log √( 1- sinx )/( 1 +sinx )