Question

Find the positive acute angle that satisfies the equation tan(squared) minus tan = 0.

Answer 1

tan is a trig operator, it needs an operand.

You probably mean something like

tan^2 Ø - tanØ = 0
factor it
tanØ(tanØ - 1) = 0
so tanØ=0 or tanØ=1
Ø = 0 or Ø = π/4 or Ø = 5π/4

since it asked for the positive acute angle
Ø = π/4 radians or 45°