Find the number of positive integral solution of the equation `tan^(-1)x+cos^(-1)y/(sqrt(1-y^2))=sin^(-1)3/(sqrt(10))`

Explanation

`tan^(-1)x+cos^(-1)(y/(sqrt(1+y^2)))=sin^(-1)(3/(sqrt 10))`

`tan^(-1)x+tan^(-1)(1/y)=tan^(-1)(3)`

`tan^(-1)(1/y)=tan^(-1)(3)-tan^(-1)x`

`y=frac{1+3x}{3-x}`

`x=1, 2` which corresonds to `y=2` and `y=7`.