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Let's address the questions step by step.

### Problem V.1: Convert 105.183° to degrees, minutes, and seconds.

To convert a decimal degree into degrees, minutes, and seconds:
- The whole number part of 105.183° is the degrees.
- Multiply the decimal part (0.183) by 60 to get the minutes.
- Multiply any remaining decimal part of the minutes by 60 to get the seconds.

Steps:
1. Degrees: 105°.
2. Minutes: \( 0.183 \times 60 = 10.98 \) → 10 minutes.
3. Seconds: \( 0.98 \times 60 = 58.8 \approx 59 \) seconds.

Thus, 105.183° = **105° 10' 59"**.

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### Problem V.2: Convert 21° 47' 12" to decimal degrees.

To convert from degrees, minutes, and seconds to decimal degrees:
- Keep the degrees as is.
- Divide the minutes by 60.
- Divide the seconds by 3600.
- Add everything together.

Steps:
1. Degrees: 21.
2. Minutes to degrees: \( \frac{47}{60} = 0.7833 \).
3. Seconds to degrees: \( \frac{12}{3600} = 0.0033 \).

Add them: \( 21 + 0.7833 + 0.0033 = 21.7866 \).

Thus, 21° 47' 12" = **21.7866°**.

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### Bonus Questions:

1. **En el círculo unitario, ¿cómo se llama los números que le pertenecen a x?**
   - Los números que pertenecen al eje x se llaman **cosenos**.

2. **En el círculo unitario, ¿cómo se llama los números que le pertenecen a y?**
   - Los números que pertenecen al eje y se llaman **senos**.

3. **En el círculo unitario, los ángulos positivos se dirigen en contra de las manecillas del reloj. Cierto o Falso.**
   - **Cierto**. Los ángulos positivos en el círculo unitario van en sentido contrario a las manecillas del reloj.

4. **En el círculo unitario, los ángulos negativos se dirigen a favor de las manecillas del reloj. Cierto o Falso.**
   - **Cierto**. Los ángulos negativos se mueven en la misma dirección que las manecillas del reloj.

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Do you have any questions or need further details on these solutions?

Here are some related questions to deepen your understanding:
1. How would you convert 56.375° to degrees, minutes, and seconds?
2. What is the decimal degree equivalent of 42° 30' 0"?
3. In the unit circle, what are the coordinates of the angle 180°?
4. How are the sine and cosine functions related to the unit circle?
5. What happens when you rotate 360° on the unit circle?

**Tip**: Always check your unit circle angles in radians and degrees to understand how they relate to real-world rotations.

The query involves converting degrees to minutes and seconds, and vice versa, and answering bonus questions related to unit circle terminology and angle direction.

Explore how to convert 105.183° into degrees, minutes, and seconds and vice versa for 21° 47' 12". Understand unit circle terminologies and direction of positive and negative angles. This guide is ideal for high school students learning trigonometry.

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