Which of the following is(are) correct? `(A) 3^pi>pi^3` `(B)sinx>x-x^3/6`

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 ? (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)

The domain of the function f(x)=(log)_e{(log)_(|sinx|)(x^2-8x+23)-{3/((log)_2|sinx|)}} contains which of the following interval(s)? (a) (3,pi) (b) (pi,(3pi)/2) (c) ((3pi)/2,5) (d) none of these

The domain of the function f(x)=(log)_e{(log)_(|sinx|)(x^2-8x+23)-{3/((log)_2|sinx|)} contains which of the following interval(s)? 3,pi) (b) (pi,(3pi)/2) (c) ((3pi)/2,5) (d) none of these

The domain of the function f(x)=(log)_e{(log)_(|sinx|)(x^2-8x+23)-{3/((log)_2|sinx|)} contains which of the following interval(s)? 3,pi) (b) (pi,(3pi)/2) (c) ((3pi)/2,5) (d) none of these

In which of the following sets the inequality sin^(6)x+cos^(6)x>(5)/(8) holds good? (a) (-(pi)/(3),(pi)/(8))( b) ((3 pi)/(8),(5 pi)/(8))( c) ((pi)/(4),(3 pi)/(4)) (d) ((7 pi)/(8),(9 pi)/(8))

In which of the following sets the inequality sin^6x+cos^6x >5/8 holds good? (a) (-pi/3,pi/8) (b) ((3pi)/8,(5pi)/8) (c) (pi/4,(3pi)/4) (d) ((7pi)/8,(9pi)/8)

In which of the following sets the inequality sin^6x+cos^6x >5/8 holds good? (a) (-pi/3,pi/8) (b) ((3pi)/8,(5pi)/8) (c) (pi/4,(3pi)/4) (d) ((7pi)/8,(9pi)/8)