Fall24 Final

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 positive coterminal angle for an angle of 11π/3?

Back

To find a positive coterminal angle, add 2π (or 6π/3) to 11π/3. This gives 11π/3 + 6π/3 = 17π/3.

Front

What is the formula to find a negative coterminal angle?

Back

To find a negative coterminal angle, subtract 2π (or 6π/3) from the given angle.

Front

What are the coterminal angles for 240 degrees?

Back

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

Front

What is the amplitude of a sine wave?

Back

The amplitude of a sine wave is the maximum distance from the midline to the peak (or trough) of the wave. It is half the distance between the maximum and minimum values.

Front

If the amplitude of a graph is 3, what are the maximum and minimum values?

Back

If the midline is at y=0, the maximum value is 3 and the minimum value is -3.

Front

How do you solve for a missing distance in a right triangle?

Back

Use the Pythagorean theorem: a² + b² = c², where c is the hypotenuse and a and b are the other two sides.

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): a² + b² = c².

Front

What is the value of 'a' if a + 5 = 15?

Back

To solve for 'a', subtract 5 from both sides: a = 15 - 5, so a = 10.

Front

What is the relationship between degrees and radians?

Back

Degrees and radians are two units for measuring angles. To convert degrees to radians, multiply by π/180. To convert radians to degrees, multiply by 180/π.