Unit Circle and Radian Measure Review

Front

What is the relationship between degrees and radians?

Back

Degrees and radians are two units for measuring angles. To convert degrees to radians, use the formula: radians = degrees × (π/180).

Front

How many radians are in a full circle?

Back

There are 2π radians in a full circle.

Front

What is the radian measure for 90 degrees?

Back

90 degrees is equal to π/2 radians.

Front

What is the radian measure for 180 degrees?

Back

180 degrees is equal to π radians.

Front

What is the radian measure for 360 degrees?

Back

360 degrees is equal to 2π radians.

Front

How do you find the coordinates of a point on the unit circle for a given angle?

Back

For an angle θ in radians, the coordinates on the unit circle are (cos(θ), sin(θ)).

Front

What is the sine of 30 degrees?

Back

The sine of 30 degrees (or π/6 radians) is 1/2.

Front

What is the cosine of 60 degrees?

Back

The cosine of 60 degrees (or π/3 radians) is 1/2.

Front

What is the tangent of 45 degrees?

Back

The tangent of 45 degrees (or π/4 radians) is 1.

Front

What is the reference angle for 210 degrees?

Back

The reference angle for 210 degrees is 30 degrees.