Illustration of Six TRIGONOMETRIC RATIOS.pptx

Illustrating the Six Trigonometric Ratios

1. TRIGONOMETRIC RATIOS

2. OBJECTIVE

3. OBJECTIVES: At the end of the lesson, the students should be able to: Solve for the missing sides and acute angles of a right triangle using trigonometric ratios Apply the solution on solving right triangle in a real-life situations. Develop speed and accuracy in solving right triangles BACK

4. RECALL: Identify the parts of right ∆ABC and name the ff: Right angle Acute angles Hypotenuse Side opposite of angle A Side opposite of angle B Side adjacent to angle A Side adjacent to angle B B A C b a c

5. Activity: “ WORDSCAPES ” Complete the crossword by filling in a word that fits each clue. The letters can be repeated in forming the word. (HINT: The answers are mathematical terms)

6. “WORDSCAPES” ACROSS DOWN

7. EXAMPLE: Find the 6 trigonometric ratios. 8 6 c=10 A B C ɵ

8. EXAMPLE: Find the 6 trigonometric ratios. 8 6 c=10 A B C ɵ sin ɵ =   sin ɵ =  

9. EXAMPLE: Find the 6 trigonometric ratios. 8 6 c=10 A B C ɵ cos ɵ =   cos ɵ =  

10. EXAMPLE: Find the 6 trigonometric ratios. 8 6 c=10 A B C ɵ tan ɵ =   tan ɵ =  

11. EXAMPLE: Find the 6 trigonometric ratios. 8 6 c=10 A B C ɵ csc ɵ =   csc ɵ =  

12. EXAMPLE: Find the 6 trigonometric ratios. 8 6 c=10 A B C ɵ sec ɵ =   sec ɵ =  

13. EXAMPLE: Find the 6 trigonometric ratios. 8 6 c=10 A B C ɵ cot ɵ =   cot ɵ =  

14. EXAMPLE: Find the 6 trigonometric ratios. 8 6 c=10 A B C ɵ cot ɵ =   sin ɵ =   cos ɵ =   tan ɵ =   csc ɵ =   sec ɵ =  

15. Try This!: Find the trigonometric ratios.

16. Activity: Find the missing length of a side of the right triangle BCA below and give the 6 trigonometric ratios, where 𝜃 is an acute angle in the triangle.

17. Answer!: Find the trigonometric ratios. sin A =   sin B =   cos A =   cos B =   tan A =   tan B =  

18. Activity: Find the missing length of a side of the right triangle BCA below and give the 6 trigonometric ratios, where 𝜃 is an acute angle in the triangle.

19. Activity: Find the missing length of a side of the right triangle BCA below and give the 6 trigonometric ratios, where 𝜃 is an acute angle in the triangle. sin A =   sin B =   cos A =   cos B =   tan A =   tan B =   8 2 + x 2 = 17 2 a 2 + b 2 = c 2 x 2 = 289 - 64 x 2 = 225 x = 15

20. #1 Illustrating the Six Trigonometric Ratios: Sine, Cosine, Tangent, Secant, Cosecant, and Cotangent

21. #2 Illustrating the Six Trigonometric Ratios: Sine, Cosine, Tangent, Secant, Cosecant, and Cotangent

22. #3 Illustrating the Six Trigonometric Ratios: Sine, Cosine, Tangent, Secant, Cosecant, and Cotangent

23. #4 Illustrating the Six Trigonometric Ratios: Sine, Cosine, Tangent, Secant, Cosecant, and Cotangent

24. #5 Illustrating the Six Trigonometric Ratios: Sine, Cosine, Tangent, Secant, Cosecant, and Cotangent

25. Part 2: Find the missing length of a side of the right triangle BCA below and give the 6 trigonometric ratios, where 𝜃 is an acute angle in the triangle.

26. Part 2: Find the missing length of a side of the right triangle BCA below and give the 6 trigonometric ratios, where 𝜃 is an acute angle in the triangle.

27. ANSWER Illustrating the Six Trigonometric Ratios: Sine, Cosine, Tangent, Secant, Cosecant, and Cotangent PART 1 = 8POINTS PART 2 = 12POINTS

28. answer Illustrating the Six Trigonometric Ratios: Sine, Cosine, Tangent, Secant, Cosecant, and Cotangent

29. answer Illustrating the Six Trigonometric Ratios: Sine, Cosine, Tangent, Secant, Cosecant, and Cotangent

30. answer Illustrating the Six Trigonometric Ratios: Sine, Cosine, Tangent, Secant, Cosecant, and Cotangent

31. answer Illustrating the Six Trigonometric Ratios: Sine, Cosine, Tangent, Secant, Cosecant, and Cotangent

32. answer Illustrating the Six Trigonometric Ratios: Sine, Cosine, Tangent, Secant, Cosecant, and Cotangent

33. Part 2: Find the missing length of a side of the right triangle BCA below and give the 6 trigonometric ratios, where 𝜃 is an acute angle in the triangle. sin B =   cos A =   cos B =   tan A =   tan B =   a 2 + 4 2 = 5 2 a 2 + b 2 = c 2 a 2 = 25 - 16 a 2 = 9 a = 3 a = 3

34. Thank you!!!