Flashcardizz Reference and Co-terminal Angles (3B)

Front

What are coterminal angles?

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) to/from the angle.

Front

How do you find a positive coterminal angle?

Back

To find a positive coterminal angle, add 360° (or 2π radians) to the given angle until the result is positive.

Front

How do you find a negative coterminal angle?

Back

To find a negative coterminal angle, subtract 360° (or 2π radians) from the given angle until the result is negative.

Front

What is the coterminal angle of 240°?

Back

The positive coterminal angle is 600° (240° + 360°) and the negative coterminal angle is -120° (240° - 360°).

Front

What is the coterminal angle of 45°?

Back

The coterminal angle is 405° (45° + 360°).

Front

How do you determine the quadrant of an angle?

Back

To determine the quadrant of an angle, convert it to a positive angle if necessary, then divide by 90° to see which quadrant it falls into: 1st (0° to 90°), 2nd (90° to 180°), 3rd (180° to 270°), 4th (270° to 360°).

Front

What quadrant is -570° in?

Back

-570° is coterminal with 150° (by adding 720°), which is in the 2nd quadrant.

Front

What is the coterminal angle of 3π/7?

Back

The coterminal angle is 31π/7 (3π/7 + 4π).

Front

What is the value of cosine in the 4th quadrant?

Back

In the 4th quadrant, cosine values are positive.

Front

What is the value of sine in the 2nd quadrant?

Back

In the 2nd quadrant, sine values are positive.