Evaluating the composition of Functions using Right Triangles

What is the main goal when evaluating the expression secant of arcsine of 4/5?

• To find the angle whose sine is 4/5

• To find the angle whose cosine is 4/5

• To find the angle whose tangent is 4/5

• To find the angle whose cotangent is 4/5

Why is only one specific triangle valid when using the inverse sine function?

• Because the inverse sine function is only defined in the first and third quadrants

• Because the inverse sine function is only defined in the second and fourth quadrants

• Because the inverse sine function is only defined in the second and third quadrants

• Because the inverse sine function is only defined in the first and fourth quadrants

What is the length of the adjacent side in the triangle used to solve the problem?

• 5

• 4

• 3

• 2

How is the secant of an angle defined in trigonometry?

• Opposite over adjacent

• Adjacent over hypotenuse

• Hypotenuse over opposite

• Hypotenuse over adjacent

What is the final value of the secant of the angle in this problem?

• 4/3

• 3/5

• 5/3

• 3/4