The `2(1-cosx)lt=x^2, 2AAx in [0,pi/4]` then `sin(tanx)` is greater than

Statement 1: Let f(x)=sin(cos x) \ i n \ [0,pi/2] . Then f(x) is decreasing in [0,pi/2] Statement 2: cosx is a decreasing function AAx in [0,pi/2]

Statement 1: Let f(x)=sin(cos x) \ i n \ [0,pi/2] . Then f(x) is decreasing in [0,pi/2] Statement 2: cosx is a decreasing function AAx in [0,pi/2]

Suppose 0 lt theta lt 90^(@) , then for every theta, 4 sin^2 theta + 1 is greater than or equal to

Using the relation 2(1-cosx)

Which of the following is/are correct? a. (tan"x")^(In(cosx)) b. (sin"x")^(In(secx))>(cos"x")^(in(cosx))AAx in (0,pi/4) c. (s e cpi/3)^(I n(tanx)) > (s e cpi/3)^(I n(cosx)) AAx in (pi/4,pi/2) d. (1/2)^(I n(sinx)) > (3/4)^(I n(sinx))AAx in (0,pi/2)

Statement 1: Let f(x)=sin(cos x)in[0,pi/2]dot Then f(x) is decreasing in [0,pi/2] Statement 2: cosx is a decreasing function AAx 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)

If cosx = (1)/(2) and 0 lt x lt 2pi then solutions are

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)