Inverse Trigonometric Functions Concepts

The video tutorial explains how to evaluate expressions involving inverse trigonometric functions. It covers three examples: inverse sine of a negative angle, inverse cosine of a large angle, and inverse tangent of a fractional angle. Each example involves sketching the angle in standard position, finding the reference angle, and using the unit circle to determine the exact value of the expression. The tutorial emphasizes understanding the range of inverse functions and the importance of reference angles.

What is the reference angle for the inverse sine of sine of negative nine-fifths pi radians?

• Pi over 4 radians

• Pi over 5 radians

• Pi over 6 radians

• Pi over 3 radians

In which interval does the inverse sine function return an angle?

• Negative pi to pi radians

• 0 to 2 pi radians

• 0 to pi radians

• Negative pi over 2 to positive pi over 2 radians

What is the simplified result of the inverse sine of sine of negative nine-fifths pi radians?

• Negative pi over 4 radians

• Pi over 5 radians

• Negative pi over 5 radians

• Pi over 4 radians

What is the reference angle for the inverse cosine of cosine of 22/9 pi radians?

• 2/9 pi radians

• 5/9 pi radians

• 4/9 pi radians

• 3/9 pi radians

In which interval does the inverse cosine function return an angle?

• Negative pi to pi radians

• 0 to pi radians

• Negative pi over 2 to positive pi over 2 radians

• 0 to 2 pi radians

What is the simplified result of the inverse cosine of cosine of 22/9 pi radians?

• 3/9 pi radians

• 4/9 pi radians

• 2/9 pi radians

• 5/9 pi radians

What is the reference angle for the inverse tangent of tangent of 6/7 pi radians?

• 1/7 pi radians

• 2/7 pi radians

• 4/7 pi radians

• 3/7 pi radians

In which interval does the inverse tangent function return an angle?

• Negative pi over 2 to positive pi over 2 radians

• Negative pi to pi radians

• 0 to pi radians

• 0 to 2 pi radians

Which quadrant is the terminal side of the angle for inverse tangent of tangent of 6/7 pi radians located in?

• Third quadrant

• First quadrant

• Second quadrant

• Fourth quadrant

What is the simplified result of the inverse tangent of tangent of 6/7 pi radians?

• Negative 1/7 pi radians

• 1/7 pi radians

• 2/7 pi radians

• Negative 2/7 pi radians