Trigonometric Functions and Angles

The video tutorial explains how to evaluate inverse trigonometric expressions using reference triangles and the unit circle. It covers inverse cosine of cosine pi/3, inverse cosine of cosine 11/6 pi, inverse sine of sine 5/4 pi, and inverse sine of sine 3/2 pi. The tutorial demonstrates how to use reference angles and triangles to find the correct angles within specified intervals, ensuring the trigonometric function values match the given expressions.

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

• Pi over three

• Pi over six

• Pi over two

• Pi

In which quadrant is the angle 11/6 pi radians located?

• Fourth quadrant

• First quadrant

• Second quadrant

• Third quadrant

What is the reference angle for 11/6 pi radians?

• Pi over two

• Pi over three

• Pi over four

• Pi over six

What is the cosine value of the angle 11/6 pi radians?

• Negative one half

• One half

• Square root of three divided by two

• Negative square root of three divided by two

What is the reference angle for 5/4 pi radians?

• Pi over six

• Pi over four

• Pi over three

• Pi over two

In which quadrant is the angle 5/4 pi radians located?

• Third quadrant

• Fourth quadrant

• Second quadrant

• First quadrant

What is the sine value of the angle 5/4 pi radians?

• Negative one divided by square root of two

• One half

• One divided by square root of two

• Negative one half

What is the sine value of the angle 3/2 pi radians?

• One

• Square root of two

• Negative one

• Zero

What is the angle in radians for inverse sine of negative one?

• Negative pi over two

• Pi over two

• Pi

• Zero

In which direction do we rotate to find the angle for inverse sine of negative one?

• Clockwise

• Neither direction

• Both directions

• Counterclockwise