Understanding Inverse Trigonometric Functions

The video tutorial explains how to evaluate trigonometric expressions using inverse functions and the unit circle. It covers four examples: inverse cosine of sine pi over three, inverse sine of cosine pi over four, inverse sine of cosine pi over six, and inverse cosine of sine pi over two. Each example involves sketching angles in standard position, identifying coordinates on the unit circle, and simplifying expressions to find angles in radians or degrees.

What is the value of inverse cosine of sine pi over three?

• Pi over four radians

• Pi over three radians

• Zero radians

• Pi over six radians

In which quadrant is the angle for inverse cosine of square root three divided by two?

• Second quadrant

• First quadrant

• Third quadrant

• Fourth quadrant

What is the value of inverse sine of cosine pi over four?

• Pi over three radians

• Pi over four radians

• Zero radians

• Pi over six radians

Which angle corresponds to a sine function value of square root two divided by two?

• 30 degrees

• 45 degrees

• 60 degrees

• 90 degrees

What is the value of inverse sine of cosine pi over six?

• Pi over six radians

• Pi over three radians

• Pi over four radians

• Zero radians

In which quadrant is the angle for inverse sine of square root three divided by two?

• First quadrant

• Second quadrant

• Third quadrant

• Fourth quadrant

What is the value of inverse cosine of sine pi over two?

• Pi over six radians

• Pi over three radians

• Pi radians

• Zero radians

What is the cosine function value at zero radians?

• Zero

• Negative one

• One

• Square root of two divided by two

Which angle has a cosine function value of one?

• 270 degrees

• 180 degrees

• 90 degrees

• Zero degrees

What is the sine function value at pi over two radians?

• Negative one

• One

• Square root of three divided by two

• Zero