Suppose that sec ( θ ) = 8.92 , and 0 ∘ ≤ θ < 360 ∘ . Find the two distinct angles θ 1 and θ 2 ( θ 1 < θ 2 ) that satisfy this equation. Round decimal answers to the third decimal place.

Answer 1

sec θ = 8.92

cos θ = 1 / sec θ

cos θ = 1 / 8.92

cos θ = 0.1121

θ ∈ {1°, 359°}