Solve the following equation for 0 ≤ ѳ< 2π. Show your work.
sec^2ѳ-6=-4

Answer:
Step-by-step explanation:
sec²θ-6 = -4
sec²θ = 2
1/cos²θ = 2
cos²θ = ½
cosθ = ±1/√2 = ±√2/2
θ = π/4, 3π/4, 5π/4, 7π/4