The value of [cos(90° − θ)·secθ·tanθ] ÷ [cosec(90° − θ)·sin(90° − θ)·cot(90° − θ)] is:

The numerator is sinθ·secθ·tanθ = ta$n^2$θ. In the denominator cosec(90° − θ) = secθ, sin(90° − θ) = cosθ and cot(90° − θ) = tanθ, so it equals secθ·cosθ·tanθ = tanθ. The quotient is ta$n^2$θ/tanθ = tanθ.