Radian, Degree, quadrant, reciprocals _early Trig

Front

What is a radian?

Back

A radian is a unit of angular measure defined as the angle subtended at the center of a circle by an arc equal in length to the radius of the circle.

Front

How do you convert degrees to radians?

Back

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

Front

What is the relationship between arc length, radius, and central angle in radians?

Back

Arc length (s) = radius (r) × central angle (θ in radians).

Front

What is the formula for finding the radius of a circle given the arc length and central angle in radians?

Back

Radius (r) = Arc length (s) / Central angle (θ in radians).

Front

What are the four quadrants in the Cartesian plane?

Back

Quadrant I: (x > 0, y > 0), Quadrant II: (x < 0, y > 0), Quadrant III: (x < 0, y < 0), Quadrant IV: (x > 0, y < 0).

Front

In which quadrant is the angle 240° located?

Back

Angle 240° is located in Quadrant III.

Front

What is a coterminal angle?

Back

Coterminal angles are angles that share the same terminal side when drawn in standard position, differing by full rotations (360° or 2π radians).

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.

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.

Front

What is the standard position of an angle?

Back

The standard position of an angle is when its initial side lies along the positive x-axis.