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Trigonometry (Use of Sohcahtoa (Cosine(angle)= adjacent/ hypotenuse (why…

- - - - To find a missing angle or side of a triangle.
    - - When the adjacent side and the hypotenuse are given to you.
    - - You use the formula adjacent/hypotenuse, and plug in the values of each side into it, and the result is the missing angle/side.
  - - - We use tangent to find the missing side or angle
    - - Tangent is used when the opposite and/or adjacent sides or angles are given.
    - - You use the formula opposite/adjacent. Plug in the values of each side or angle that are given to you. The answer you get will be the missing angle or side.
  - - - When the opposite side and the hypotenuse are given to you
    - - You use the formula opposite/hypotenuse, and plug in the value of each side into it, and the result is the missing angle/side.
    - - to find an angle, when the opposite side and the hypotenuse are present.
- - - - Can be used in the context of different problems to solve for different angles and sides when a right triangle is present.
- - - - how you use:
        
        With a triangle with sides a,b and c and angles A, B and C
      - when you use:
        
        You use this when you are given two sides and the included angle of a triangle.
      - why you use:
    - - how you use:
      - when you use:
        
        You use this when you are given all three sides of a triangle.
      - why you use
  - - - b) two sides and a non-included
        angle.
      - a) two angles and one side
- - - - In mathematics, the Pythagorean : theorem, also known as Pythagoras's theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
        The Pythagorean formula is a special case of a more general equation.
        The full equation is the Cosine Law:
        C^2 = A^2 + B^2 - 2AB cos(c)
      - Why you use:
        *You will notice that this equation only degenerates into the
        Pythagorean formula when cos(c) is equal to zero. And that can only
        happen when angle c is 90 degrees. That extra term is the secret to
        why it only works for 90-degree angles.
        The theorem is of fundamental importance in Euclidean Geometry where it serves as a basis for the definition of distance between two points. It's so basic and well known that, I believe, anyone who took geometry classes in high school couldn't fail to remember it long after other math notions got thoroughly forgotten.
      - When you use: you can use the Pythagorean theorem if you have two sides of a triangle.
    - - Why you use:
        When you need to find a side from a 45-45-90 triangle that you don't know.
      - When you use:
        If our mission is to find the hypotenuse for the following
        45-45-90 triangle
      - -How you use:
        
        remember that in a 45-45-90
        -
        
        1 : √3 : 2
        -
        
        Then you can figure out the hypotenuse by multiplying the leg length by square root of 2.
        -
        
        S = 1 x H
    - - How you use: Given that x is constant in all three sides, you need to solve for x. For example, if your hypotenuse is 20, you look at the picture. The hypotenuse is shown as 2x. Next you would solve for x; 2x=20, so x=10. You then just apply the x=10 to the rest of the sides to solve the triangle.
      - Why you use:
      - When you use: use the conversions form the picture when one of your angles other than a 90 degree angle, is 30 degrees or 60