Matinga's Cyclical Function Proofs

Displacement or Angular Displacement

Pythagoras Theorem

c ^ 2 = a ^2 + b ^ 2

Formula For Circle (Conic Sections)

r ^ 2 = x ^ 2 + y ^ 2

1 ^ 2 = x ^ 2 + y ^ 2 ,

Matinga Cyclical Functions

(1) y ^ 2 = 1 - x ^ 2 ,

(2) A = sin ^ 2 ( x )

(3) A = ( 1 - x ^ 2 ) ^ (1/2) ,

(4) A = sin ( x )

(5) A = cos ( x ) ,

(6) sin ( x + Pi/2 ) ,

(7) A = ( 1 - ( x - 1/4 ) ^ 2 ) ^ (1/2)

(8) tan ( x ) = sin ( x ) / cos ( x )

(8) y ^ 2, A = x [1] ^ 2 + x [2] ^ 2 + x [3] ^ 2

+ . . . + x [n] ^ 2

Transpose powers and other operators as required. All circles add, and multiply to form further circles.

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