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Trigonometry

Trigonometry . What is Trig?. Defined : Trigonometry is the Relationship between elements of a Triangle. Where can Trig be used in the construction business?. There are 6 elements of a triangle…. 3 Sides and 3 Angles. A Right Triangle. Parts Include:. θ. Theta. Right Angle.

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Trigonometry

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  1. Trigonometry

  2. What is Trig?

  3. Defined: Trigonometry is the Relationship between elements of a Triangle

  4. Where can Trig be used in the construction business?

  5. There are 6 elements of a triangle….

  6. 3 Sides and 3 Angles

  7. A Right Triangle

  8. Parts Include: θ Theta Right Angle

  9. Sides of the Triangle are: Opposite θ

  10. Opposite θ Adjacent

  11. Hypotenuse Opposite θ Adjacent

  12. θ Hypotenuse Adjacent Opposite

  13. The Ratios are Defined As…….

  14. Sin θ = Opp Hyp

  15. SOH

  16. Cos θ = Adj Hyp

  17. SOH CAH

  18. Tan θ = Opp Adj

  19. SOH CAH TOA

  20. How Does it Work?

  21. First it is important to lable the Triangle

  22. Sides = Upper Case Letters Angles = Lower Case Letters b C A a c B

  23. Once labeled we can find the dimensions of unknown sides

  24. A²+ B²= C² 3²+ 4²= C² ? 3 4

  25. A²+ B²= C² 3²+ B²= 5² B²= 5²- 3² 5 3 ?

  26. We can also Calculate the angles

  27. Using COS Find ‹b COS=adj hyp COS=3 5 3÷5 = 0.6 -1 b=cos X 0.6 = 53.1º b ? 53.1º 5 3 θ a c 4

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