Question

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Answer 1

The answer is √2

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