Unit Circle Practice 1

Front

What is the definition of 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.

Front

What are the coordinates of the point on the unit circle at an angle of 0 radians?

Back

(1, 0)

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 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 tangent of an angle in the unit circle?

Back

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

Front

What is the value of cos(π/3)?

Back

1/2

Front

What is the value of sin(π/2)?

Back

1

Front

What is the value of tan(π/4)?

Back

1

Front

What is the reference angle for 5π/6?

Back

π/6

Front

What is the value of sin(-θ)?

Back

-sin(θ) (the sine function is odd).