Respuesta :

Answer:

[tex]\sqrt{2}[/tex]

Step-by-step explanation:

using the trigonometric identity

• sec²Θ = 1 + tan²Θ, then

sec²Θ = 1 + (- 1)² = 2, hence

secΘ = ± [tex]\sqrt{2}[/tex]

secΘ > 0 for [tex]\frac{3\pi }{2}[/tex] < Θ < 2π

⇒ secΘ = [tex]\sqrt{2}[/tex]