Evaluating Inverse Trigonometric Functions

The video tutorial explains how to evaluate the inverse sine of negative square root of 2 over 2. It covers writing the problem in function notation, determining the range, and using the unit circle to find the correct angle. The tutorial emphasizes the importance of staying within the range of inverse functions and concludes that the sine of negative pi over 4 equals negative square root of 2 over 2.

What is the first step in evaluating the inverse sine of a given value?

• Calculate the derivative of the function

• Find the tangent of the value

• Rewrite the expression in a different notation

• Determine the cosine of the value

What is the range of angles considered when evaluating the inverse sine function?

• 0 to 2pi

• 0 to pi

• Negative pi to pi

• Negative pi/2 to pi/2

When using the unit circle, which coordinate is used to find the sine of an angle?

• w-coordinate

• y-coordinate

• z-coordinate

• x-coordinate

Why is the positive angle not used in this evaluation?

• It is less than zero

• It is outside the range of the inverse function

• It is greater than pi

• It is not a real number

What is the angle whose sine is negative square root of 2 over 2?

• negative pi over 4

• pi over 4

• pi over 2

• negative pi over 2