Final exam review2

Front

What is a reference angle?

Back

A reference angle is the acute angle formed by the terminal side of an angle and the x-axis. It is always positive and is measured in degrees or radians.

Front

How do you find the reference angle for an angle in degrees?

Back

To find the reference angle for an angle θ, subtract 180° from θ if θ > 180°, or subtract θ from 180° if θ < 180°.

Front

What is a coterminal angle?

Back

Coterminal angles are angles that share the same terminal side when drawn in standard position. They can be found by adding or subtracting multiples of 360° (or 2π radians).

Front

How do you find a coterminal angle?

Back

To find a coterminal angle, add or subtract 360° (or 2π radians) from the given angle.

Front

What is the formula to convert degrees to radians?

Back

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

Front

Convert 150° to radians.

Back

150° = 150 × π/180 = 5π/6 radians.

Front

Convert 10° to radians.

Back

10° = 10 × π/180 = π/18 radians.

Front

What is the value of π in degrees?

Back

π radians is equivalent to 180 degrees.

Front

What is the relationship between degrees and radians?

Back

Degrees and radians are two units for measuring angles; 360° is equal to 2π radians.

Front

What is the reference angle for 150°?

Back

The reference angle for 150° is 30°.