Answer:
Both A and B . . . . . and 2 more answers
Step-by-step explanation:
Completing the square, you get
tan²(x) -tan(x) +0.25 = 2.25 . . . . . add 0.25
(tan(x) -0.5)² = 1.5²
tan(x) = 0.5 ± 1.5 = {-1, 2}
For tan(x) = -1, the solutions are ...
x = arctan(-1) = 135°, 315°
For x = 2, the solutions are ...
x = arctan(2) ≈ 63.435°, 243.435°