`lim_(x->pi/6)[2(sinxcos(pi/6)-cosxsin(pi/6))]/(x-pi/6)`

lim_(x->(pi)/6)(3sinx-sqrt(3)cosx)/(6x-pi)

sin(pi/3-x)cos(pi/6+x)+cos(pi/3-x)sin(pi/6+x)=1

Evaluate lim_(xrarr(pi)/(6))((sqrt3sinx-cosx))/((x-(pi)/(6))).

The number of solutions of the equation cos^2(x+pi/6)+cos^2x-2cos(x+pi/6)dotcos(pi/6)=sin^2(pi/6) in interval ((-pi)/2,pi/2) is_________

The number of solutions of the equation cos^2(x+pi/6)+cos^2x-2cos(x+pi/6)dotcos(pi/6)=sin^2(pi/6) in interval ((-pi)/2,pi/2) is_________

The number of solutions of the equation cos^2(x+pi/6)+cos^2x-2cos(x+pi/6)dotcos(pi/6)=sin^2(pi/6) in interval ((-pi)/2,pi/2) is_________

lim_(x to (pi)/(6)) [(3sinx - sqrt(3)cos x)/(6x -pi)] is equal to

Evaluate, lim_(xto(pi//6)) (sqrt(3)sinx-cosx)/(x-pi/6)

lim_(x rarr pi/6)(sqrt(3)sin x-cos x)/(x-(pi)/(6))