Trigonometry

Description

Mind Map on Trigonometry, created by cobra.rosser on 05/02/2014.
cobra.rosser
Mind Map by cobra.rosser, updated more than 1 year ago
cobra.rosser
Created by cobra.rosser about 10 years ago
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Resource summary

Trigonometry
  1. Pythagorean Theorem
    1. Pythagoras was a Greek mathematician
      1. His theorem was: a² + b² = c²
    2. 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)
            2. Sine
              1. sin(θ) = O ÷ H
                1. θ = sin⁻¹(O ÷ H)
            3. O-Opposite A-Adjacent H-Hypotenuse
              1. H
                1. A
                  1. O
                    1. θ
                    2. These are used to find the side lengths and angles of a right angled triangle
                    3. 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))
                          3. z
                            1. y
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