Trigonometric-Ratios grade power point presentation

trigonometric ratios

1. Activity Find the missing length of the following right triangles and answer the items that follow.

2. Questions: 1. For ∆ABC, the value of the side a is equal to ? ______ 2. For ∆DEF, the length of the side b is equal to? _____ 3. For ∆GHI, the length of side c is? ____ 15 . 5 5.2 9.2

3. Trivia Time! Did you know that triangle is the strongest shape? If you try to create a shape out of sticks joined with hinges for example square even without force applied it will be transformed into a parallelogram but triangles will not, for a triangle no matter what type, this can’t happen. It’s inherently rigid.

4. Trivia Time! That’s why this shape is very common on buildings and other construction. That’s why some build landmarks like this.

5. Activity: REVEAL ME! What is the measurment of a right angle? _______ 90 degrees

6. Activity: REVEAL ME! What is the value of the hypotenuse? _______ 12 12 10 8

7. Activity: REVEAL ME! What is the name of the side adjacent to angle C? _______ b a b c A B C

8. Activity: REVEAL ME! What is the non-hypotenuse side that is next to angle M? _______ a a b c A M T

9. Activity: REVEAL ME! Hipparchus was a Greek astronomer, geographer, and mathematician. He is considered the founder of trigonometry. HIPPARCHUS OF NICAEA

10. By: NELBERT D. SORIANO ILLUSTRATING THE SIX TRIGONOMETRIC RATIOS

11. At the end of the lesson, the student should be able to: Illustrate the six trigonometric functions: sine, cosine, tangent, cosecant, secant, and cotangent; Apply the six trigonometric functions to solve right triangles; and Appreciate the trigonometric function by solving real-life problems. LEARNING OBJECTIVES :

12. -Trigonometric ratios are ratios of the length of sides of a triangle. These ratios in trigonometry relate the ratio of sides of a right triangle to the respective angle. The six trigonometric ratios -The six trigonometric ratios namely Sine, Cosine, Tangent, Cosecant, Secant, and Cotangent are abbreviated below

13. The six trigonometric ratios

14. SOH-CAH-TOA CHO-SHA-CAO

15. SOH-CAH-TOA CHO-SHA-CAO Example 2: finding a missing angle Step-by-step solution: Step 1. Set up the formula

16. SOH-CAH-TOA CHO-SHA-CAO Example 2: finding a missing angle Step-by-step solution: Step 2. Dividing 30 by 40 to change the fraction to a decimal. Sin x = 30/40 Sin x = 0.75

17. SOH-CAH-TOA CHO-SHA-CAO Example 2: finding a missing angle Step-by-step solution: Step 3. Find an angle whose sine is 0.75 by using the sin-¹ function on your calculator. Sin x = 0.75 sin-¹ (sin x) = sin-¹ (0.75) x = sin-¹ (0.75) x = 48.59037789 or 49°

18. How can we apply or relate he use of these trigonometric function in a real-world?

19. Real-world application

20. Assignment: Challenge problemsl

21. QUIZ Find the day of the week you were born, and of your birthday this year. Set up a round-robin tournament schedule for 9 teams.

22. Type equation here.