Write the given expression in terms of x and y only tan (sin-1 x + cos-1 y)

Sinθ = x

cos α = y

cos θ = square root of (1-x2)

sin^2θ + cos^2θ = 1

cos θ = square root of (1 - sin^2θ)

tan (sin-1 x + cos-1 y) = tan (θ + square root of (1 - sin^2θ))

tan (sin-1 x + cos-1 y) = tan (θ+α)

tan (θ+α) = t an θ + tan α / (1-tanθ tanα)