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The image you've uploaded is written in Indonesian and discusses trigonometric identities related to angle addition and subtraction.

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1. **Activity 2: Angle Addition**  
   It describes two acute angles \( \alpha \) and \( \beta \) (meaning both are positive and less than 90°). The task is to create a diagram illustrating the sum of angles \( \alpha \) and \( \beta \) so that \( \alpha + \beta > 90^\circ \). 

   - It includes an instruction to use similar steps as in the previous activity to determine the formula for \( \cos(\alpha + \beta) \).
   - The result should show that:
     \[
     \cos(\alpha + \beta) = \frac{OA}{OP}
     \]
     where \( OA \) and \( OP \) are parts of a right triangle or vector diagram.

2. **Difference of Angles (Selisih Sudut):**  
   It provides the trigonometric identities for the difference of two angles \( \alpha \) and \( \beta \):
   - For sine: 
     \[
     \sin(\alpha - \beta) = \sin \alpha \cos \beta - \cos \alpha \sin \beta
     \]
   - For cosine:
     \[
     \cos(\alpha - \beta) = \cos \alpha \cos \beta + \sin \alpha \sin \beta
     \]

These are standard trigonometric identities for angle addition and subtraction, useful in various trigonometric calculations.

Would you like a more detailed explanation of how to derive these identities, or do you have specific questions about the diagram or the formulas?

Here are 5 related questions for further exploration:
1. How is the formula for \( \cos(\alpha + \beta) \) derived using a unit circle or right triangle?
2. What are the geometric interpretations of the sine and cosine addition and subtraction formulas?
3. How can these angle addition and subtraction identities be applied to solve trigonometric equations?
4. How does the identity for \( \sin(\alpha + \beta) \) compare to \( \cos(\alpha + \beta) \)?
5. What are some real-world applications of angle addition and subtraction formulas?

**Tip:** Remember that these trigonometric identities are essential for simplifying expressions and solving equations in trigonometry. Understanding their derivations can help strengthen your intuition about angles and rotations.

Determine the cosine and sine formulas for the sum and difference of two angles (α and β) and apply them to the given angles.

Explore the trigonometric identities for angle addition and subtraction, covering cosine and sine formulas. Learn how to apply these identities for angles α and β in various trigonometric problems.

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