Session 555555555555555555555555551.pptx

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1. Session 1 MA.1.01 - Create, interpret and analyze trigonometric ratios that model real-world situations. Goals for Lesson Recall how to use Pythagorean Theorem to calculate lengths of sides of a right triangle. Describe the sine of an acute angle as a ratio of lengths Use the sine of an acute angle to calculate the distance between two points.

2. TRIGONOMETRY By N.B mswane . 2

3. The Trigonometric Functions SIN E COS INE TAN GENT

4.  Hypotenuse Adjacent Opposite

5. HYPOTENUSE, OPPOSITE & ADJACENT It is important to recognize opposite and adjacent sides to an angle in a right triangle.

6. SOH CAH TOA ONE THING TO REMEMBER…

7. One more time… Here are the ratios: sin θ = opposite side hypotenuse cosθ = adjacent side hypotenuse tan θ = opposite side adjacent side S O H A H O A C T SOH CAH TOA

8. opposite hypotenuse adjacent hypotenuse opposite adjacent

9. Find the values of the three trigonometric functions of  . 4 3 ? Pythagorean Theorem: (3) ² + (4)² = c² 5 = c 5

10. 6 8 10 SOH CAH TOA

11. How tall is the tree? PROBLEM…

12. What if we want to find the angle??? What’s the measure of angle A and angle C? NOW BACKWARDS

13. 45 ° 45 ° 60 ° 30 ° Find the relation

14. Activity (T.P.S ) which kite do you think is higher? Explain your opinion . Have you ever flown a kite? If so, did you ever wonder how high the kite was above the ground? Betty and Jake are on the beach flying kites. Betty had 200 feet of string and none is left. Jake had 150 feet of string and none is left. A friend estimated the angles that the strings made with the ground for each person.

15. 6 minutes quiz For each figure, find the value of x to two decimal places. 

16. (Gallery walk) in your group, try to graph the function f(x)= sin(x).

17. Their graphs as functions and the characteristics  

18. Exit ticket (5 min)

19. H.W For proficient students wishing to be advanced: Research a topic related to : the six trigonometric functions in terms of right triangles Present the information in PowerPoint presentation or other format of your choice. The information you present must be interesting to you and must go beyond what was studied in class. Your presentation must be clear and understandable to your teacher and your classmates.