Question

Solve the following equation for 0 ≤ ѳ< 2π. Show your work.

sec^2ѳ-6=-4

Answer 1

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