Sine Function and Angle Relationships

The video tutorial explains the concept of a circle with center O and angle POQ, denoted as Theta. It discusses the sine function, defined as opposite over hypotenuse, and how to calculate the sine of 2π minus Theta. The tutorial illustrates the reflection of a triangle along the x-axis in the third quadrant, where y-values are negative, and concludes with the final answer choice.

What is the center of the circle in the given problem?

• P

• O

• Q

• R

If the measure of angle POQ is Theta, what is the sine of Theta?

• R over Theta

• Theta over R

• a over R

• R over a

How is sine defined in trigonometry?

• Hypotenuse over opposite

• Opposite over hypotenuse

• Adjacent over hypotenuse

• Adjacent over opposite

In the context of the problem, what does 'a' represent?

• z-coordinate

• y-coordinate

• Radius

• x-coordinate

What does 'R' represent in the problem?

• Radius

• Diameter

• Circumference

• Area

What is the significance of the hypotenuse in the sine function?

• It is the opposite side

• It is the adjacent side

• It is the longest side

• It is the shortest side

How many radians are in a full circle?

• 4 Pi

• Pi

• 2 Pi

• 3 Pi

What does 2 Pi minus Theta represent in terms of rotation?

• Forward rotation

• Double rotation

• Backward rotation

• No rotation

When calculating sine of 2 Pi minus Theta, what happens to the 'a' value?

• It becomes negative

• It halves

• It becomes positive

• It doubles

In which quadrant are all y-values negative?

• Fourth

• Third

• Second

• First