Trigonometry and Geometry Concepts

This video tutorial covers advanced trigonometry concepts, including the use of special triangles and reference angles to find trigonometric ratios for angles greater than 90 degrees. It explains the difference between principal and reference angles, introduces the CAST rule for determining positive trig ratios in different quadrants, and demonstrates the use of the unit circle. The tutorial also covers co-terminal and negative angles, providing a comprehensive understanding of trigonometric functions beyond basic triangle calculations.

What is the main focus of the lesson in the trigonometry and geometry unit?

• Learning about parallel lines and angles

• Understanding the Pythagorean theorem

• Using special triangles and reference angles for angles greater than 90°

• Using special triangles and reference angles for angles less than 90°

In the Cartesian plane, what is the initial arm?

• An arm that rotates around the origin

• An arm that is fixed on the positive x-axis

• An arm that is fixed on the negative y-axis

• An arm that rotates clockwise

What is a principal angle?

• The angle between the terminal arm and the y-axis

• The angle between the terminal arm and the x-axis

• The angle between two parallel lines

• The angle between the initial arm and the terminal arm in a counterclockwise direction

According to the CAST rule, which trigonometric ratio is positive in the second quadrant?

• Cosine

• Sine

• Tangent

• All ratios

What is the reference angle for a principal angle of 210°?

• 30°

• 60°

• 45°

• 90°

If a point lies on the terminal arm of angle Theta, how can you determine the primary trig ratios?

• By using only the y-coordinate

• By using only the x-coordinate

• By measuring the angle directly

• By using the coordinates of the point and the CAST rule

What is a co-terminal angle?

• An angle that shares the same terminal arm with another angle

• An angle that is always 360°

• An angle that is always 180°

• An angle that is always 90°