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Questions and Answers
Cal é a conversión correcta de 120° a radianos?
Cal é a conversión correcta de 120° a radianos?
- $ rac{2 heta}{3}$ (correct)
- $ rac{2 heta}{5}$
- $ rac{2 heta}{5}$
- $ rac{3 heta}{4}$
Cal é o valor correcto para converter $ rac{3 heta}{8}$ a graos?
Cal é o valor correcto para converter $ rac{3 heta}{8}$ a graos?
- 67,5° (correct)
- 45°
- 90°
- 75°
Cal é a menor determinación positiva de -620°?
Cal é a menor determinación positiva de -620°?
- 180°
- 240°
- 420°
- 300° (correct)
Cal é a conversión correcta de 168,25° a minutos e segundos?
Cal é a conversión correcta de 168,25° a minutos e segundos?
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Cal é o resultado de 315° - 225° 21' 9''?
Cal é o resultado de 315° - 225° 21' 9''?
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Study Notes
Angle Measurement Units
- Converting degrees to radians: Multiply the degree measure by $\frac{\pi}{180}$.
- Converting radians to degrees: Multiply the radian measure by $\frac{180}{\pi}$.
- Submultiples of degrees: Minutes (') and seconds (") are used to express angles more precisely.
- 1 degree = 60 minutes
- 1 minute = 60 seconds
Congruent Arcs and Least Positive Determination
- Congruent arcs: Two arcs are congruent if they have the same measure.
- Finding the least positive determination: To find the least positive determination of an angle:
- For degrees: Keep adding or subtracting 360° until the angle is between 0° and 360°.
- For radians: Keep adding or subtracting 2π until the angle is between 0 and 2π.
- Representing angles on the unit circle: Visualization helps understand trigonometric functions and their relationships.
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