let `lim_(x->pi) (sinalphax)/(1-2cosbetax)=-sqrt3 , ` then least positive value of `alphabeta` is

Evaluate lim_(x->pi)(sqrt(1-cos6x))/(sqrt2(pi/3-x))

. If tan^2 pi(x+y)+cot^2pi (x+y)=1+sqrt(2x)/(1+x^2) where x,y in RR then the least positive value of y is

If tan^(2)(pi(x+y))+cot^(2)(pi)x+y=1+sqrt((2x)/(1+x^(2))) where x,y are real then the least positive value of y is

lim_(x->pi/4)(2sqrt(2)-(cosx+sinx)^3)/(1-sin2x)=

The least positive solution of cot(pi/(3sqrt3) sin2x)=sqrt3

Evaluate lim_(xto(pi/3)) sqrt(1-cos6x)/(sqrt(2)(pi/3-x)

The value of lim(x->pi) (sqrt(2+cosx)-1)/(pi-x)^2

The value of lim(x->pi) (sqrt(2+cosx)-1)/(x-pi)^2

lim_(x to 0) (pi^(x)-1)/(sqrt(1+x)-1)