Why The Name Pythagorean Identity is Appropriate

The Pythagorean Identity is similar to that of the Pythagorean Theory.

The Pythagorean Theorem states : a² + b² = c²

The Pythagorean Identity states that: Sin²x+Cos²x=1 . 

The Pythagorean Theorem : 

The Pythagorean Identity : 

          Sin = Opposite              Cos = Adjacent 

                   Hypotenuse                   Hypotenuse

 

              So as you can see the Pythagorean Identity is an appropriate name because when you plug in numbers for sin and cos and square them, the end result will ALWAY BE ONE ! Cool right ? An identity is similar to sameness or oneness. So the fact that you can plug any number in and the end result will always be one makes the name Pythagorean Identity accurate.

                       TRY IT YOURSELF !