Question

PLEASE HELP ME WITH THIS QUESTION IMAGE AND ANSWER CHOICES BELOW!!

Answer 1

Answer:

$\sqrt{2}$

Step-by-step explanation:

using the trigonometric identity

• sec²Θ = 1 + tan²Θ, then

sec²Θ = 1 + (- 1)² = 2, hence

secΘ = ± $\sqrt{2}$

secΘ > 0 for $\frac{3\pi }{2}$ < Θ < 2π

⇒ secΘ = $\sqrt{2}$