Trigonometric Functions and Their Properties

The video tutorial explains how to evaluate trigonometric expressions involving inverse functions. It covers the evaluation of inverse sine, inverse tangent, and inverse cosine, using the unit circle to determine exact values. The tutorial provides step-by-step guidance on finding angles and calculating trigonometric function values, including rationalizing denominators when necessary.

What is the range of the inverse sine function?

• 0 to pi radians

• -pi/2 to pi/2 radians

• 0 to 2pi radians

• -pi to pi radians

What is the cosine of pi/6 radians?

• Square root of 2 divided by 2

• 1

• Square root of 3 divided by 2

• 1/2

What is the range of the inverse tangent function?

• 0 to 2pi radians

• -pi to pi radians

• 0 to pi radians

• -pi/2 to pi/2 radians

What is the sine of pi/4 radians?

• 1/2

• Square root of 3 divided by 2

• Square root of 2 divided by 2

• 1

What is the range of the inverse cosine function?

• 0 to 2pi radians

• -pi/2 to pi/2 radians

• -pi to pi radians

• 0 to pi radians

What is the tangent of 5/6 pi radians?

• Negative 1

• Square root of 3

• 1

• Negative square root of 3 divided by 3

What is the range of the inverse tangent function?

• -pi to pi radians

• 0 to 2pi radians

• -pi/2 to pi/2 radians

• 0 to pi radians

What is the cosine of negative pi/3 radians?

• 1/2

• 1

• Square root of 3 divided by 2

• Square root of 2 divided by 2

In which quadrant is the angle for inverse tangent of a negative value?

• Second quadrant

• First quadrant

• Fourth quadrant

• Third quadrant

What is the angle in radians for inverse tangent of negative square root three?

• Negative pi/3 radians

• Pi/4 radians

• Negative pi/4 radians

• Pi/3 radians