`sin(pi-6x)+sqrt3 sin(pi/2+6x)=sqrt3`

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

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)

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)

Evaluate int_(pi/6)^(pi/3) sqrt(sin x)/(sqrt(sin x)+sqrt(cos x)) d x

Prove that (i) " sin " .(pi)/(6). " cos " .(pi)/(6) = (sqrt(3))/(4) " " (iii) cos^(2) .(pi)/(2) - sin^(2) .(pi)/(2) =(sqrt(3))/(2)

Find the value of x in [-pi,pi] for which f(x)=sqrt(log_(2)(4sin^(2)x-2sqrt(3)sin x-2sin x+sqrt(3)+1)) is defined.

f (x) = cos ((pi) / (sqrt (3)) sin x + sqrt ((2) / (3)) pi cos x)

sin(x-pi/6)+cos(x-pi/3)=sqrt3 sinx

lim_( x to pi//6) (sin(x-pi//6))/(sqrt3//2-cosx) is equal to