Unit Circle Trig.

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, 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

What is the sine of an angle in the Unit Circle?

Back

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

Front

What is the cosine of an angle in 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 tangent of an angle in the Unit Circle?

Back

The tangent of an angle is the ratio of the sine to the cosine (tan(θ) = sin(θ)/cos(θ)).

Front

What is the relationship between sine and cosine?

Back

sin²(θ) + cos²(θ) = 1 for any angle θ.

Front

What are the values of sine and cosine at 30 degrees?

Back

sin(30°) = 1/2, cos(30°) = √3/2.