Trigonometry

Pythagorean Theorem
1. Pythagoras was a Greek mathematician
  1. His theorem was: a² + b² = c²
Trigonometric Functions
1. Soh Cah Toa
  1. Cosine
    1. cos(θ) = A ÷ H
      1. θ = cos⁻¹(A ÷ H)
  2. Tangent
    1. tan(θ) = O ÷ A
      1. θ = tan⁻¹(O ÷ A)
  3. Sine
    1. sin(θ) = O ÷ H
      1. θ = sin⁻¹(O ÷ H)
2. O-Opposite A-Adjacent H-Hypotenuse
  1. H
  2. A
  3. O
  4. θ
3. These are used to find the side lengths and angles of a right angled triangle
Angles of Elevation and Depression
1. The angles of elevation and depression can be used with the trigonometric functions to work out the height of an object and the distance you are from the object
  1. Distance (y)
    1. y = z ÷ (tan(angle of elevation/depression))
  2. Height (z)
    1. z = y x (tan(angle of elevation/depression))
2. z
3. y

Zusammenfassung der Ressource

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