Prove that the least positive value of `x ,` satisfying `tanx=x+1,` lies in the interval `(pi/4,pi/2)`

Prove that the least positive value of x satisfying tan x=x+1, lies in the interval ((pi)/(4),(pi)/(2))

The greatest possible value of the expression tanx+cotx+cosx on the interval [pi//6, pi//4] is

The value of sin sqrt(x^(2) - pi^(2)/36) lies in the interval

If the set of values of x satisfying the inequalitytan x.tan3x<-1 in the interval (0,(pi)/(2)) is (a,b) then the value of ((36(b-a))/(pi)) is

Find the smallest positive value of x and y satisfying x-y=(pi)/(4) and cot x+cot y=2

If 4{x)=x+[x];x>0, then the value of x which satisfies,lies in the interval

Find the smallest positive values of x and y satisfying x-y=(pi)/(4) and cot x+cot y=2

f(x)=cos2x, interval [-(pi)/(4),(pi)/(4)]