Number of roots of the equation `|sinxcosx|` `+sqrt(2+t a n^2x+cot^2x)=sqrt(3),x in [0,4pi]a r e`

Number of solutions of the equation sin x + cos x-2sqrt(2) sin x cos x=0 for x in [0, pi] is

The variable x satisfying the equation |sinxcosx|+sqrt(2+tan^2 x+cot^2x)=sqrt(3) belongs to the interval (a) [0,pi/3] (b) (pi/3,pi/3) (c) [(3pi)/4,pi] (d) none-existent

Find the roots of the equation x^2+sqrt(3) x+3/4

The number of solutions of the equation |2 sin x-sqrt(3)|^(2 cos^(2) x-3 cos x+1)=1 in [0, pi] is

Number of solutions of the equation 4(cos^(2) 2x+ cos 2 x +1)+tan x (tan x-2sqrt(3))=0 in [0, 2pi] is

The number of real roots of the equation |x|^(2)-3|x|+2=0 is

The number of real root of the equation e^(x-1)+x-2=0 , is

The number of solutions of equation cos2x-3cos x+1=(1)/((cot2x-cotx).sin(x-pi)) in [0,4pi] is

The number of real solution of the equation tan^(-1) sqrt(x^(2) - 3x + 2) + cos^(-1) sqrt(4x - x^(2) -3) = pi is

The number of roots of the equation sin(2x+pi/18) cos(2x-pi/9)=-1/4 in [0, 2pi] is