Flashcard - Co-terminal Angles

Front

What are co-terminal angles?

Back

Co-terminal 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° (for degrees) or 2π (for radians).

Front

How do you find a co-terminal angle for a given angle?

Back

To find a co-terminal angle, add or subtract 360° (or 2π radians) to the given angle until you reach the desired range.

Front

What is the co-terminal angle of -75°?

Back

The co-terminal angles of -75° are 285° and -435°.

Front

What is the co-terminal angle of 330°?

Back

The co-terminal angles of 330° are 690° and -30°.

Front

What are the positive and negative co-terminal angles of -225°?

Back

The positive co-terminal angle is 135°, and the negative co-terminal angle is -585°.

Front

If an angle measures 395°, what is its co-terminal angle within the range of 0° to 360°?

Back

The co-terminal angle of 395° within the range of 0° to 360° is 35° (395° - 360°).

Front

What is the significance of co-terminal angles in trigonometry?

Back

Co-terminal angles are significant in trigonometry because they have the same sine, cosine, and tangent values, which can simplify calculations.

Front

How can you determine if two angles are co-terminal?

Back

Two angles are co-terminal if their difference is a multiple of 360°.

Front

What is the co-terminal angle of 510°?

Back

The co-terminal angle of 510° is 150° (510° - 360°).

Front

What is the co-terminal angle of -600°?

Back

The co-terminal angle of -600° is 120° (-600° + 720°).