Geometry

• Rationalizing numbers does not accept a denominator that's not a whole number or an irrational number. It cannot be a fraction.
• To rationalize a number, multiply the denominator to the numerator and denominator to multiply and remove the radical sign.
• Special Right Triangles consists of 45-45-90
• Special Right Triangles consists of 30-60-90
• The 45-45-90 special right triangle is an isosceles right triangle and it consists of one part of angles and sides. It's largest interior angle is 90 degrees
• 45-45-90 special right triangle has two cases

  CASE 1: The hypotenuse is missing --> Multiply one leg to the square root of 2

  CASE 2: The leg is missing --> Divide the hypotenuse to the square root of 2
• The purpose of learning this is to identify the special relationship existing on the sides. It aims for shortcuts and techniques to get the sides without using the Phythagorean Theorem.
• Special Right Angle 30-60-90 consists of a shorter leg, a longer leg, and a hypotenuse.

  Shorter leg - opposite to 30 degrees

  Longer leg - opposite to 60 degrees

  Hypotenuse - opposite to the right angle
• Shorter --> Hypotenuse = multiply by 2

  Shorter --> Longer = multiply by the square root of 3

  Hypotenuse --> Shorter = divide by 2

  Longer --> Shorter = divide by the square root of 3
• Trigonometry is a branch of mathematics that is concerned with the specific relationship between the sides of a triangle and its angles.
• The Trigonometric Function is the relationship of a right triangle angle to the ratios of the side lengths.
• Trigonon - triangle

  Metron - measure
• θ - theta

  a - alpha

  ~ - approximately

  Opposite side - always opposite to unknown

  Hypotenuse - doesn't change its position

  Adjacent side - adjacent to the unknown (remaining side)
• The Three Basic Trigonometric Rations or SOHCAHTOA

  Sine - sinθ = o/h

  Cosine - cosθ = a/h

  Tangent - tanθ = o/a