Algebraic Expression

Question

Write an algebraic expression for y=tan (cos^-1 x/3) for 0<x<3.

Answer 1

For cos^-1 x/3 (0 < x < 3) ⇒ for some θ, 0 < cos θ < 1.

Therefore 0 < θ < π.

y = tan θ, 0 < θ < π