Let `x_1` and `x_2` are the solution of the equation `secx=1+cosx+cos^2x+cos^3x+...oo` where `x_1, x_2 in (0, 2pi)~{pi}` The value of `|x_1-x_2|=`

Let x_(1) and x_(2) are the solution of the equation sec x=1+cos x+cos^(2)x+cos^(3)x+...oo where x_(1),x_(2)in(0,2 pi)sim{pi} The value of |x_(1)-x_(2)|=

The solution of the equation cos^(-1)x+cos^(-1)2x=(2pi)/(3) is

The solution of the equation cos^(-1)x+cos^(-1)2x=(2pi)/(3) is

If x_(1) and x_(2) are the two solutions of the equation 2cos x sin3x=sin4x+1 lying in the interval [0,2 pi]. then the value of |x_(1)-x_(2)| is

The solution of the equation 8^(1+|cosx|+|cos^2x|+|cos^3x|+.........) = 4^3 in the interval (-pi,pi)

Let x_1 and x_2 be solutions of the equation "sin"^(-1)(x^2-3x+5/2)=pi/6 . Then, the value of x_1^2+x_2^2 is

Find the number of real solutions of the equation sqrt(1 + cos 2x) = sqrt2 cos^-1 (cosx) , where x in [pi/2 , pi]