1. Original Power Point From mackinac.eup.k12.mi.us/cms/lib/ Mackinac Island Public School Author: Mrs. Bennett

2. The Trigonometric Functions we will be looking at SINE COSINE TANGENT

3. Old Hippie Some Old Hippie Came A Hoppin’ Through Our Apartment

4. SOHCAHTOA Old Hippie Sin Opp Hyp Cos Adj Hyp Tan Opp Adj

5. Ex: 1 Figure out which ratio to use. Find x. Round to the nearest tenth. 20 m x tan 2055 ) Shrink yourself down and stand where the angle is. Now, figure out which trig ratio you have and set up the problem.

6. Ex: 2 Find the missing side. Round to the nearest tenth. 80 ft x tan 8072 =  ( ) ) Shrink yourself down and stand where the angle is. Now, figure out which trig ratio you have and set up the problem.

7. New Version…

8. The Trigonometric Ratios SINE COSINE TANGENT The trigonometric ratios can be used to find a missing side of a right triangle or an angle. I smell a hippie!

9. SOH CAH TOA Old Hippie S in O pp H yp C os A dj H yp T an O pp A dj

10. S ome O ld H ippie C ame A H oppin’ T hrough O ur A partment Maybe this will help… Old Hippie

11. I knew I smelled a hippie!! Now, how do we use this trig stuff?

12. Step 1 Figure out which ratio to use. 20 m x

13. Step 1 Figure out which ratio to use. 20 m x Label the sides of the triangle using the reference angle as the starting point. Draw an arrow straight from the reference angle, that is the opposite Leg Opposite Leg

14. Step 1 Figure out which ratio to use. 20 m x Opposite the right angle is the hypotenuse. Opposite Leg Hypotenuse

15. Step 1 Figure out which ratio to use. 20 m x Lastly, label the remaining leg the Adjacent Leg Opposite Leg Hypotenuse Adjacent Leg

16. Step 1 Figure out which ratio to use. 20 m x The triangle gives you the ADJACENT LEG and is looking for the OPPOSITE LEG. Opposite Leg Hypotenuse Adjacent Leg

17. Step 1 Figure out which ratio to use. 20 m x TANGENT uses the OPPOSITE and ADJACENT leg Opposite Leg Hypotenuse Adjacent Leg

18. Step 2 Using the Trig ratio. 20 m x Plug in the information present. Opposite Leg Hypotenuse Adjacent Leg

19. Step 2 Using the Trig ratio. 20 m x Insert a “1” under the Tan(55). Opposite Leg Hypotenuse Adjacent Leg

20. Step 2 Using the Trig ratio. 20 m x Cross multiply Opposite Leg Hypotenuse Adjacent Leg

21. Step 2 Using the Trig ratio. 20 m x Cross multiply Opposite Leg Hypotenuse Adjacent Leg

22. Step 2 Using the Trig ratio. 20 m x Enter that into your calculator.. Adjacent Leg Opposite Leg Hypotenuse

23. Step 2 Using the Trig ratio. 20 m x The calculator does all of the hard work!

24. Step 2 Using the Trig ratio. 20 m That is your answer. 28.56 m

25. Step 2 Using the Trig ratio. 20 m Done! 28.56 m They all work the same man! It works every time!!