Answer:
The answer is √2
Step-by-step explanation:
∵ 3/2 π < Ф < 2π
∴ Ф is in the fourth quadrant
∴ The value of secФ is positive
∵ tanФ = -1
∴ Ф = 2π - tan^-1 (1) = 7/4 π (315°)
∵ secФ = 1/cosФ
∵ cos(7/4 π) = √2/2
∴ sec(7/4 π) = (2/√2) × (√2/√2) = 2√2/2 = √2
