数学全能公式（Mathematical omnipotence formula）.doc

数学全能公式（Mathematical omnipotence formula） First, the high school mathematics induction formula complete: Commonly used induction formula has the following groups: Formula i: The value of the same trigonometric function is equal to the same angle at the end of an arbitrary angle: Sin (2k PI + alpha) = Alpha sin (k, Z) Cos (2k PI + alpha) = Alpha cos (k, Z) Tan (2k PI + alpha) = Alpha Tan (k, Z) Cot (2k PI + alpha) = Alpha cot (k, Z) Formula two: The relation between trigonometric function values of alpha and alpha and trigonometric functions of alpha is given: Sin (n + alpha) = Alpha Sin Cos (n + alpha) = Alpha Cos Tan (PI + alpha) = Tan alpha Cot (PI + alpha) = cot alpha Formula three: The relation between trigonometric function values of arbitrary angle alpha and alpha: Sin (alpha) = Alpha Sin Cos (- alpha) = cos alpha Tan (alpha) = Alpha Tan Cot (alpha) = Alpha Cot Formula four: By using formulas two and formula three, the relation between the PI and the trigonometric functions of alpha is obtained: Sin (PI) = sin alpha Cos (PI - alpha) = Alpha Cos Tan (PI - alpha) = Alpha Tan Cot (PI - alpha) = Alpha Cot Formula five: By using formula 1 and formula three, we can get the relation between the value of 2 pion alpha and the trigonometric function of alpha: Sin (2 pi alpha) = Alpha Sin Cos (2 pi) = cos alpha Tan (2 pi alpha) = Alpha Tan Cot (2 pi alpha) = Alpha Cot Formula six: The relation between the value of PI /2 + and 3 PI /2 + alpha and the trigonometric function of alpha: Sin (PI /2 alpha) = Alpha cos Cos (PI /2 alpha) = Alpha Sin Tan (PI /2 alpha) = Alpha Cot Cot (PI /2 alpha) = Alpha Tan Sin (PI /2 alpha) = Alpha cos Cos (PI /2 alpha) = Alpha sin Tan (PI /2 alpha) = Alpha cot Cot (PI /2 alpha) = Alpha Tan Sin (3 /2 PI alpha) = Alpha Cos Cos (3 /2 PI alpha alpha) = sin Tan (3 /2 PI alpha) = Alpha Cot Cot (3 /2 PI alpha) = Alpha Tan Sin (3 /2 PI alpha) = Alpha Cos Cos (3 /2 PI alpha) = Alpha Sin Tan (3 /2 PI alpha alpha) = cot Cot (3 /2 PI alpha alpha) = Tan (k,