Find all solutions in the interval 0° ≤ 𝜃 < 360°

Question

tan 2𝜃 =-1

Answer 1

tan2x = -1

2x = tan^-1(-1) = 135 or 315

x = 67.5 or 157.5 degrees

UNLESS maybe you meant tan^2(x) = -1?

if so,

then

there is no real solution, as tan(x) squared is always a positive number, regardless of the value of x