If `tan(A-B)=1,sec(A+B)=2/(sqrt(3))` , then the smallest positive value of `B` is. `(a) (25pi)/(24)` (b) `(19pi)/(24)` (c) `(13pi)/(24)` (d) `(11pi)/(24)`

If tan(A-B)=1a n dsec(A+B)=2/(sqrt(3)) , then the smallest positive values of A and B, respectively, are (25pi)/(24),(19pi)/(24) (b) (19pi)/(24),(25pi)/(24) (31pi)/(24),(31pi)/(24) (d) (13pi)/(24),(31pi)/(24)

5/8+3/4-7/(12) is equal to: (a) (15)/(24) (b) (17)/(24) (c) (19)/(24) (d) (21)/(24)

Find the value of sin. (23pi)/(24) .

55% of 1000 -: 60% of 2000= (a) (11)/(24) (b) (12)/(25) (c) (13)/(24) (d) (14)/(25)

Let f(x) be positive, continuous, and differentiable on the interval (a , b)a n d lim_(x->a^+)f(x)=1,lim_(x->b^-)f(x)=3^(1/4)dot If f^(prime)(x)geqf^3(x)+1/(f(x)), then the greatest value of b-a is (a) pi/(48) (b) pi/(36) (c) pi/(24) (d) pi/(12)

The smallest positive root of the equation tanx-x=0 lies in (0,pi/2) (b) (pi/2,pi) (pi,(3pi)/2) (d) ((3pi)/2,2pi)

The value of sin^(-1)(cos((33pi)/5)) is (a) (3pi)/5 (b) -pi/(10) (c) pi/(10) (d) (7pi)/5

The value of sin^(-1)(cos(33pi)/5) is (a) (3pi)/5 (b) -pi/(10) (c) pi/(10) (d) (7pi)/5

If y=(x^4-x^2+1)/(x^2+sqrt(3)x+1) and (dy)/(dx)=a x+b , then the value of a+b is (a) cot(pi/8) (b) cot((5pi)/12) (c) tan((5pi)/12) (d) tan((5pi)/8)

The least positive solution of cot(pi/(3sqrt3) sin2x)=sqrt3 lie (a) (0,pi/6) (b) (pi/9,pi/6) (c) (pi/12,pi/9) (d) (pi/3,pi/2)