Solve: tan²x = 1

Answer 1

This means that tan(x) = ±1, so x is in every quadrant or every instance of 45° or π/4.

x=π/4+πn, x=3π/4+πn

Answer 2

If tan²x = 1, then tanx = 1 or tanx = -1

Solutions between 0 and 2π:

tanx = 1 if x = π/4 or 5π/4

tanx = -1 if x = 3π/4 or 7π/4