A. Objective The learners should be able to investigate changes that happen in the absence of oxygen. B. Materials ● fire. Activity: TITLE: ABSENCE OF OXYGEN Jar with cover (Jar A) Jar without cover (Jar B) 2 same sized candle (small) Match or lighter Timer Ruler C. Precautionary Measure Remember to handle match or lighter carefully and don't play with it for it can cause D. Procedure 1. Label the jar with cover with Jar A and the jar without cover as Jar B. 2. Light the candles with a match and put the candles in each jar. 3. Record the time when the candles are lighted and the time when the light was put off. 4. Cover the Jar A and observe what will happen. 5. Measure the length of the candles after the flame was put off. 6. Record your findings on the chart below. Jars JAR A JAR B Time of the flame was put off Length of the candle after burning Answer the following questions: 1. Which of the 2 jars was the candle's flame put off first? 2. Which of the two candles has the shortest size? 3. What happen, when you cover the Jar A? 4. When the lighted candle in Jar A was covered, the flame was put off, what is the reason why the candle's flame did not continue to burn? 5. What are the 3 main components in combustion? Doss​

TRIGONOMETRIC RATIOS OF THE ANGLES Ө sin COS tan 30° 45° 60° Questions: 1. How did you find the values? 2. What did you discover about the values you obtained? 3. What do you think makes these angles special? Why? ​

Answer:

The trigonometric ratios of the angles 30°, 45°, and 60° are as follows:

- For 30°:

- Sin(30°) = 0.5

- Cos(30°) = √3/2

- Tan(30°) = 1/√3

- For 45°:

- Sin(45°) = √2/2

- Cos(45°) = √2/2

- Tan(45°) = 1

- For 60°:

- Sin(60°) = √3/2

- Cos(60°) = 0.5

- Tan(60°) = √3

To answer your questions:

1. The values of the trigonometric ratios for these angles can be found using the unit circle or trigonometric identities. The values are well-known and can be derived using various mathematical methods.

2. The values obtained for the trigonometric ratios have some interesting properties. For example, the sine and cosine values for 45° are equal, which means that the angle is associated with an isosceles right triangle. Additionally, the tangent value for 30° is equal to 1 divided by the square root of 3, which is related to the special triangle known as the 30-60-90 triangle.

3. These angles (30°, 45°, and 60°) are considered special because they are associated with common geometric shapes and relationships. For example, 30°, 45°, and 60° are angles found in an equilateral triangle, which has all sides and angles equal. These angles also appear in the 30-60-90 triangle, where the sides are in a specific ratio (1:√3:2) and the angles are 30°, 60°, and 90°. The values of the trigonometric ratios for these angles are used extensively in various applications of trigonometry, such as solving triangles, analyzing periodic phenomena, and calculating distances and heights.