Solve for real values of `x :((sin^(-1)x)^3+(cos^(-1)x)^3)/((tan^(-1)x+cot^(-1)x)^3)=7`

sin {cot^(-1)[tan (cos^(-1)x)]=

The value of sin[cot^(-1){cos(tan^(-1) x)}] is

The value of x satisfying the equation (sin^(-1)x)^(3)-(cos^(-1)x)^(3)+(sin^(-1)x)(cos^(-1)x)(sin^(-1)x-cos^(-1)x)=(pi^(3))/(16) is :

The number of real values of x satisfying tan^(-1)((x)/(1-x^(2)))+tan^(-1)((1)/(x^(3))) is

The number of real values of x satisfying tan^(-1)((x)/(1-x^(2)))+tan^(-1)((1)/(x^(3)))=(3pi)/(4) is :