Evaluate the inverse trig function in composition

The video tutorial explains the process of solving a composition of functions by working from the inside out. It focuses on understanding the sine inverse function, particularly when the sine is negative, and the restrictions on angles in different quadrants. The tutorial then moves on to calculating the tangent of an angle, including rationalizing the denominator. The instructor emphasizes the importance of practice and understanding these concepts through multiple examples.

What is the first step when dealing with a composition of functions like tangent of sine inverse?

• Work from the outside in

• Work from the inside out

• Solve for sine first

• Solve for tangent first

In which quadrants is the sine function negative?

• 1st and 2nd

• 1st and 4th

• 2nd and 3rd

• 3rd and 4th

What is the angle whose sine is -1/2 in the restricted range of the inverse sine function?

• π/6

• π/3

• -π/3

• -π/6

How do you simplify the tangent of an angle when given the coordinates?

• Divide the X coordinate by the Y coordinate

• Multiply the coordinates

• Add the coordinates

• Divide the Y coordinate by the X coordinate

What is the simplified form of the tangent when the coordinates are sqrt(3)/2 and -1/2?

• sqrt(3)

• -1/2

• -sqrt(3)/3

• 1/2