The number of distinct real roots of the equation `sin pi x=x^(2)-x+(5)/(4)` is

The number of distinct real roots of the equation x=((5 pi)/(2))^(cos x)

The number of distinct real roots of the equation sin^(3)x +sin^(2)x sin x-sin x- sin 2x-2cos x=0 belonging to the interval (-(pi)/(2),(pi)/(2))

The number of distinct real roots of the equation x=((5pi)/(2))^(cos x)

The number of distinct real roots of the equation tan ( 2 pi x)/( x^(2) + x + 1) = - sqrt(3) is

The number of distinct real roots of the equation 3x^(4)+4x^(3)-12x^(2)+4=0 is ___________.

The number of distinct real roots of the equation sin^(3)x +sin^(2)x + sin x-2cosxsin^2 x- sin 2x-2cos x=0 belonging to the interval (-(pi)/(2),(pi)/(2)) is

The number of distinct real roots of the equation tan(2 pi x)/(x^(2)+x+1)=-sqrt(3) is 4(b)5(c)6(d) none of these

The number of distinct real roots of the equation sqrt(sin x)-(1)/(sqrt(sin x))=cos x("where" 0le x le 2pi) is