Answer: Secant of angle A = √2
Explanation:
From the given right angle triangle,
AB represents the hypotenuse of the right angle triangle.
With m∠B as the reference angle,
AC represents the adjacent side of the right angle triangle.
BC represents the opposite side of the right angle triangle.
To determine Cosine of m∠A, we would apply
the cosine trigonometric ratio.
Cos θ = adjacent side/hypotenuse. Therefore,
Cos A = √5/√10
Secant = 1/Cosine
Therefore,
Secant of angle A = √10/√5 = √2