Trigonometric Functions and Angles

This video tutorial covers the concept of exact values in trigonometry, focusing on angles under 90 degrees and extending to other angles. It introduces a method using equilateral triangles and squares to derive these values, and demonstrates how to apply them to solve trigonometric equations. The video also explains how to find exact values for angles above 90 degrees using the CAST diagram, and concludes with solving equations within a 0 to 360-degree range.

What is the primary focus of the video on exact values in trigonometry?

• Learning about trigonometric identities

• Finding exact values for angles and solving equations

• Understanding the history of trigonometry

• Calculating approximate values for angles

Which two shapes are used to learn exact trigonometric values?

• Pentagon and hexagon

• Equilateral triangle and square

• Right triangle and trapezoid

• Circle and rectangle

How is the equilateral triangle divided to help find exact values?

• In half

• Vertically

• Horizontally

• Into three equal parts

What is the sine of 60° using the derived triangle?

• √3/2

• 1

• √2/2

• 1/2

What is the sine of 30° using the derived triangle?

• √3/2

• 1

• 1/2

• √2/2

What is the tangent of 45° using the derived triangle?

• 1

• √3

• √2

• 0

What is the cosine of 30° using the derived triangle?

• √3/2

• 1/2

• √2/2

• 1

What is the sine of 45° using the derived triangle?

• √2/2

• 1/2

• √3/2

• 1

What is the cosine of 45° using the derived triangle?

• √2/2

• 1/2

• √3/2

• 1

Which quadrant is used to find the sine of 150° using the CAST diagram?

• First quadrant

• Second quadrant

• Third quadrant

• Fourth quadrant