Evaluating the composition of Functions

The video tutorial explains how to evaluate the composition of the inverse sine of the sine of 5pi/3. It emphasizes starting with the innermost function and determining the correct angle within the range of the inverse function. The tutorial concludes that the answer is negative pi over 3, using the inverse property and coterminal angles.

What is the first step in evaluating the composition of inverse sine of sine of 5π/3?

• Determine the outermost function first

• Identify the innermost function and evaluate it

• Use the inverse property immediately

• Directly find the inverse sine of 5π/3

What coordinate point is associated with the sine of 5π/3?

• (-1/2, √3/2)

• (1/2, -√3/2)

• (-1/2, -√3/2)

• (1/2, √3/2)

Why can't 5π/3 be used directly in the inverse sine function?

• It is not a coterminal angle

• It exceeds the range of the inverse sine function

• It is not a valid angle

• It is not a real number

Which angle can be used instead of 5π/3 due to range limitations?

• -2π/3

• -π/3

• π/3

• 2π/3

What is the final answer for the composition of inverse sine of sine of 5π/3?

• 2π/3

• 5π/3

• -π/3

• π/3