Evaluating the composition of Functions

The video tutorial explains how to solve the composition of the tangent of the sine inverse of sqrt 3/2. It begins by evaluating the inverse sine of sqrt 3/2, identifying the angle within the range of -π/2 to π/2, which is π/3. The tutorial then demonstrates how to calculate the tangent of π/3, resulting in a final solution of sqrt 3. The process highlights the steps involved in evaluating compositions of trigonometric and inverse functions.

What is the first step in solving the composition of tangent of sine inverse of sqrt(3)/2?

• Calculate the tangent directly

• Determine the inverse sine of sqrt(3)/2

• Evaluate the inverse cosine of sqrt(3)/2

• Find the cosine of the angle

Which angle has a sine value of sqrt(3)/2 within the range of -π/2 to π/2?

• π/2

• π/4

• π/6

• π/3

What is the range of angles considered when finding the sine inverse of sqrt(3)/2?

• -π/2 to π/2

• -π to π

• 0 to π

• -π/4 to π/4

What is the tangent of the angle π/3?

• 1

• sqrt(3)

• 1/2

• sqrt(3)/2

What is the final solution for the composition of tangent of sine inverse of sqrt(3)/2?

• 2

• 1/2

• sqrt(3)

• 1