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The image you've provided contains trigonometric formulas and exercises based on angle addition and subtraction identities (Công thức cộng cung in Vietnamese). These include calculating the sine, cosine, and tangent of angles based on their relationships with known angles.

### Quick Breakdown:

1. **Addition/Subtraction Formulas (Công thức cộng cung)**: 
   - The right table lists trigonometric identities like:
     \[
     \sin(a \pm \theta), \ \cos(a \pm \theta), \ \tan(a \pm \theta)
     \]
   - These are used to simplify trigonometric expressions by adding/subtracting common angles like \( \pi/6, \ \pi/4, \ \pi/3 \), etc.

2. **Exercise Breakdown**:
   - The exercises on the left involve solving for unknown trigonometric values given one initial condition (like \( \sin \alpha \) or \( \cos \alpha \)), and then using identities to find other trig values.
   - Example:
     - In the first question, given \( \sin \alpha = \frac{1}{3}, \cos \alpha = \frac{2\sqrt{2}}{3} \), you're asked to compute other trigonometric ratios for angles related to \( \alpha \).
     - In other cases, you're asked to compute values for \( \tan \alpha \), \( \cot \alpha \), etc., based on restrictions on \( \alpha \)'s range.

Would you like help with a specific exercise or explanation of any formula?

### 5 Related Questions:
1. How do you apply the angle addition identities for sine and cosine?
2. Can you solve for \( \tan \alpha \) if \( \sin \alpha \) and \( \cos \alpha \) are known?
3. What is the general approach to finding trigonometric values when given a single angle condition?
4. How can the sine and cosine of supplementary angles (like \( \pi/2 - \alpha \)) be used to simplify expressions?
5. What is the significance of the angle ranges given in the exercises?

### Tip:
When solving trigonometric equations, always consider the quadrant in which the angle lies, as this affects the sign of the sine, cosine, and tangent values.

The image provided contains a set of trigonometric exercises involving the angle addition and subtraction identities for sine, cosine, and tangent.

Explore a series of trigonometric exercises based on angle addition and subtraction identities. Learn how to calculate sine, cosine, and tangent values using given trigonometric conditions and angle restrictions. Suitable for Grades 10-12.

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