Unit circle Degrees and Radians

Front

What is the unit circle?

Back

A unit circle is a circle with a radius of 1, centered at the origin of a coordinate plane, used to define trigonometric functions.

Tags

CCSS.HSF.TF.A.2

Front

How many degrees are in a full circle?

Back

360 degrees.

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

Front

How many radians are in a full circle?

Back

2π radians.

Tags

CCSS.HSF.TF.A.1

Front

What is the relationship between degrees and radians?

Back

Degrees can be converted to radians by multiplying by π/180.

Tags

CCSS.HSF.TF.A.1

Front

What is the sine of 30 degrees?

Back

1/2.

Tags

CCSS.HSF.TF.A.2

Front

What is the cosine of 60 degrees?

Back

1/2.

Tags

CCSS.HSF.TF.A.2

Front

What is the tangent of 45 degrees?

Back

1.

Tags

CCSS.HSF.TF.A.2

Front

What is the length of an arc in radians for a central angle of 120 degrees in a unit circle?

Back

2π/3.

Tags

CCSS.HSG.C.B.5

Front

What is the value of theta in radians for 45 degrees?

Back

π/4.

Tags

CCSS.HSF.TF.A.1

Front

What is the sine of 90 degrees?

Back

1.

Tags

CCSS.HSF.TF.A.2