Unit Circle

Front

What is the Unit Circle?

Back

The Unit Circle is a circle with a radius of 1 centered at the origin (0,0) in the coordinate plane. It is used to define trigonometric functions.

Front

What are the coordinates of the point at 0 degrees on the Unit Circle?

Back

(1, 0)

Front

What are the coordinates of the point at 90 degrees on the Unit Circle?

Back

(0, 1)

Front

What are the coordinates of the point at 180 degrees on the Unit Circle?

Back

(-1, 0)

Front

What are the coordinates of the point at 270 degrees on the Unit Circle?

Back

(0, -1)

Front

How do you find the sine of an angle using the Unit Circle?

Back

The sine of an angle is the y-coordinate of the corresponding point on the Unit Circle.

Front

How do you find the cosine of an angle using the Unit Circle?

Back

The cosine of an angle is the x-coordinate of the corresponding point on the Unit Circle.

Front

What is the relationship between sine and cosine on the Unit Circle?

Back

For any angle θ, sin(θ) = y-coordinate and cos(θ) = x-coordinate of the point on the Unit Circle.

Front

What is the value of sin(30 degrees)?

Back

1/2

Front

What is the value of cos(60 degrees)?

Back

1/2