For the next two (02) items that follow: 12(tanθ + cotθ) = 25, where 45° < θ < 90° What is the value of (cosecθ + secθ)?

cosecθ + secθ = 1/sinθ + 1/cosθ = (sinθ + cosθ)/(sinθ cosθ). Now (sinθ + cosθ)² = 1 + 2sinθcosθ = 1 + 24/25 = 49/25, so sinθ + cosθ = 7/5. Therefore cosecθ + secθ = (7/5)/(12/25) = (7/5) × (25/12) = 35/12.