5.1-5.2a Flashcard

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 coterminal angle for a given angle in degrees?

Back

To find a coterminal angle in degrees, add or subtract 360° until the angle is within the range of 0° to 360°.

Front

How do you find a coterminal angle for a given angle in radians?

Back

To find a coterminal angle in radians, add or subtract 2π until the angle is within the range of 0 to 2π.

Front

What is the formula for the center of a circle in standard form?

Back

The standard form of a circle's equation is (x-h)² + (y-k)² = r², where (h, k) is the center and r is the radius.

Front

Convert 150° to radians.

Back

150° = 5π/6 radians.

Front

What is the relationship between degrees and radians?

Back

Degrees and radians are two units for measuring angles. 180° is equivalent to π radians.

Front

What is the center of the circle given by the equation (x-3)² + (y-2)² = 16?

Back

The center of the circle is (3, 2).

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 range of coterminal angles for 330°?

Back

Coterminal angles for 330° can be found by adding or subtracting multiples of 360°, such as 690° and -30°.

Front

What is the significance of coterminal angles in trigonometry?

Back

Coterminal angles have the same trigonometric function values, which is important for solving trigonometric equations.