Solve `(x-1)|x+1|cosx>0,forx in [-pi,pi]`

Solve sin^(-1) (sin 6x) = x, x in [0,pi]

Solve |sinx +cos x |=|sinx|+|cosx|, x in [0,2pi] .

Solve cos^(-1)(cosx)>sin^(-1)(sinx),x in [0,2pi]

Solve :4sin^(-1)x=pi-cos^(-1)x

Let f:[0,(pi)/(2)]toR be continuous and satisfy f'(x)=(1)/(1+cosx) for all x in(0,(pi)/(2)) . If f(0)=3 then f((pi)/(2)) has the value equal to :

If 2cosx(4sin(pi/4+x) sin(pi/4-x)-1)=1 then for x in [0,pi] then the number of solution s is n ,and the sum of solutions is s then find the value of (n,s)

Solve sin x tan x -sin x+ tan x-1=0 for x in [0, 2pi] .

The number of solution of sqrt3Cos^2x=(sqrt3-1)Cosx+1 , x in [0,pi/2]

Solve: sin^(-1)x + sin^(-1)2x = pi/3 .

Differentiate tan^(-1)((sinx)/(1+cosx)), -pi