Unit circle Degrees and Radians

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 on the unit circle at 0 degrees?

Back

(1, 0)

Front

How do you convert degrees to radians?

Back

To convert degrees to radians, multiply the degree measure by π/180.

Front

What is the radian measure of 90 degrees?

Back

π/2 radians.

Front

What is the sine of 30 degrees?

Back

1/2.

Front

What is the cosine of 60 degrees?

Back

1/2.

Front

What is the tangent of 45 degrees?

Back

1.

Front

What are the coordinates of the point on the unit circle at 180 degrees?

Back

(-1, 0)

Front

What is the length in radians of the arc of the circle from 0 degrees to 360 degrees?

Back

2π radians.

Front

What is the value of theta in radians for 150 degrees?

Back

5π/6 radians.