Number of roots of the equation `2^(tan(x-pi/4))-2(0. 25)^((sin^2(x-pi/4))/(cos2x))+1=0,i s_______`

Find the number of roots of the equation tan(x+pi/6)=2tanx ,forx in (0,3pi)dot

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

The number of roots of the equation xsinx=1,x in [-2pi,0)uu(0,2pi] is 2 (b) 3 (c) 4 (d) 0

Number of solutions (s) of the equation (sin x)/(cos 3x) +(sin 3x)/(cos 9x)+(sin 9x)/(cos 27 x)=0 in the interval (0, pi/4) is __________.

Number of solution(s) of the equation (sinx)/(cos3x)+(sin3x)/(cos9x)+(sin9x)/(cos27x)=0 in the interval (0,pi/4) is____________

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

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

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 sin^(3)x +sin^(2)x sin x-sin x- sin 2x-2cos x=0 belonging to the interval (-(pi)/(2),(pi)/(2))

Number of roots of the equation (3+cos"x")^2=4-2sin^8x ,x in [0,5pi]a r e _________