Trigonometric Concepts and Unit Circle

The video tutorial introduces trigonometry, starting with its relation to triangles and the limitations of right triangles. It then introduces the unit circle as a tool to explore angles beyond 90 degrees. The tutorial explains how to graph sine and cosine functions using the unit circle, emphasizing the importance of understanding angles in both degrees and radians.

What does the 'gon' in trigonometry refer to?

• An angle

• A type of shape

• A measurement unit

• A side of a triangle

Why do we need to move beyond right-angle triangles in trigonometry?

• To measure angles in polygons

• To measure angles exactly 90 degrees

• To measure angles greater than 90 degrees

• To measure angles less than 90 degrees

What is the purpose of the unit circle in trigonometry?

• To measure angles in degrees

• To visualize angles greater than 90 degrees

• To find the perimeter of a circle

• To calculate the area of a circle

How should the horizontal axis be labeled when setting up the graph?

• With z

• With theta

• With x

• With y

What do sine and cosine represent on the unit circle?

• The radius and diameter

• The x and y coordinates

• The height and width

• The circumference and area

In the context of the unit circle, what does the sine of an angle represent?

• The angle in radians

• The y-coordinate

• The radius

• The x-coordinate

What is the significance of the spaghetti in the demonstration?

• To measure the circumference

• To measure the radius

• To mark the center of the circle

• To represent the y-coordinate

When plotting sine and cosine, how should the measurements be placed on the graph?

• Vertically for sine and horizontally for cosine

• Horizontally for both

• Vertically for both

• Horizontally for sine and vertically for cosine

What is the role of the x-coordinate in the unit circle?

• It represents the tangent of the angle

• It represents the secant of the angle

• It represents the cosine of the angle

• It represents the sine of the angle

Why is it important to have 36 divisions on the circle?

• To represent 5-degree increments

• To represent 10-degree increments

• To represent each radian

• To represent each degree