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Trigonometry Olivia Miller.

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Presentation on theme: "Trigonometry Olivia Miller."— Presentation transcript:

1 Trigonometry Olivia Miller

2 WHAT IS TRIGONOMETRY?

3 The Sides

4 We are trying to find this angle

5 Can you label the sides?

6 Using the Triangles to find the Angle

7

8 SOH

9 A Practice Question 12 7 A 4

10 Find the Opposite and Hypotenuse
12 7 A

11 This is what you need to put into your calculator:
Opposite = 7 Hypotenuse = 12 35.69 Give it to 2 decimal places

12

13 CAH

14 A Practice Question 12 7 A 4

15 Find the Adjacent and Hypotenuse
12 A 4

16 This is what you need to put into your calculator:
Adjacent = 4 Hypotenuse = 12 70.53 Give your answer to 2 decimal places

17

18 TOA CAH

19 A Practice Question 12 7 A 4

20 Find the Opposite and Adjacent
7 A 4

21 What You Need To Put Into Your Calculator:
Opposite = 7 Adjacent = 4 60.26 Give your answer to 2 decimal places

22 Now try and find the Angle labelled A
Practice Question: Explained Now try and find the Angle labelled A 12 70.53 4 A

23 Practice Question Explained
Find Out Which Sides You Have, therefore which triangle you will need to use. Substituting into the formula What to put into the calculator

24 Using the Triangles to find the Sides

25 The Triangles

26 Don’t Press SHIFT this time
10 Hyp - ? Opposite Divided By Sin 5 ÷ sin(30) Opp - 5 Don’t Press SHIFT this time 30

27 Give your answer to 1 decimal place
8.7 Hyp - 10 cos(30)= A ÷ 10 × × 10 cos(30) × 10 Give your answer to 1 decimal place Adj - ? 30

28 Give your answer to 1 decimal place
8.7 Tan(30) = 5 ÷ A Opp - 5 Adj - ? 30 Give your answer to 1 decimal place

29 Example Question: 13 ??? 45 Give your answer to 1 decimal place
Find the Hypotenuse Triangles Give your answer to 1 decimal place 13 ??? 45 Explain

30 Example Question Explained!
Find out what triangle you need What to put into the calculator 13 ÷ sin(45) Checking your answer 18.4

31 What did we learn?

32 THANK YOU FOR LISTENING! ARE THERE ANY QUESTIONS
??


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