What are the definitions of trigonometric functions on the unit circle

The video tutorial introduces trigonometric functions, focusing on sine, cosine, and tangent, using right triangles. It then transitions to the unit circle, explaining how trigonometric functions relate to it, with the x and y coordinates representing the adjacent and opposite sides, respectively. The tutorial also covers reciprocal trigonometric functions, emphasizing their definitions and applications on the unit circle.

In a right triangle, what does the sine of an angle represent?

• Adjacent side over opposite side

• Opposite side over hypotenuse

• Adjacent side over hypotenuse

• Hypotenuse over opposite side

What is the radius of the unit circle?

• 0

• 3

• 1

• 2

On the unit circle, what does the x-coordinate of a point represent?

• Radius of the circle

• Adjacent side of the triangle

• Hypotenuse of the triangle

• Opposite side of the triangle

How is the sine of an angle defined using the unit circle?

• As the hypotenuse of the triangle

• As the x-coordinate of the point

• As the y-coordinate of the point

• As the radius of the circle

What is the secant of an angle in terms of the unit circle?

• x over y-coordinate

• 1 over x-coordinate

• y over x-coordinate

• 1 over y-coordinate