所有微积分公式《全》（All the equations of calculus）.doc

所有微积分公式《全》（All the equations of calculus） · the two angles and the delta function with the difference Cos (alpha + beta) = cosine alpha, cosine beta sin sin, alpha, beta Cos (alpha beta) = cos + sin sin, alpha, beta, alpha cos, beta Sin (alpha + beta) = sin, alpha cos beta, plus or minus cosine alpha sine beta Tan (alpha + beta) = (+ tan tan alpha beta)/(1 - tan tan, alpha beta) Tan (alpha beta) = (tan alpha tan beta)/(1 + tan tan, alpha beta) · and differential product formula: Sine alpha + sine beta 2 sin = [(alpha + beta) / 2] cos (alpha beta) / 2 The sine of alpha sine beta = 2 cos [(alpha + beta) / 2] sin [(alpha beta) / 2] Cosine alpha + cosine beta = 2 cos cos (alpha + beta) / 2] [(alpha beta) / 2] Cosine alpha cos beta 2 sin = - [(alpha + beta) / 2] sin [(alpha beta) / 2] · integralization and difference formula: Sine alpha cos, beta = (1/2) [sin (alpha + beta) + sin (alpha beta)] The sine, cosine alpha beta = (1/2) [sin (alpha + beta) - sin (alpha beta)] Cosine alpha cos, beta = (1/2) [cos (alpha + beta) + cos (alpha beta)] Sin sin, alpha beta = - (1/2) [cos (alpha + beta) - cos (alpha beta)] · double Angle formula: The sine of alpha (2) = 2 sin alpha cosine alpha = 2 / (tan alpha + cot alpha) The cosine of alpha (2) = (cosine alpha) ^ 2 - (sine alpha) ^ 2 = 2 (cosine alpha) ^ 2-1 = 1-2 (sine alpha) ^ 2 Tan, tan alpha (2) = 2 alpha/(1 - tan ^ 2 alpha) Cot alpha (2) = (cot ^ 2 alpha 1)/(2 cot alpha) The SEC alpha (2) = the SEC ^ 2 alpha/(1 - tan ^ 2 alpha) CSC alpha (2) = 1/2 SEC alpha, CSC alpha Three times the Angle formula: Sin (alpha) = 3 sin sin alpha - 4 ^ 3 alpha = 4 sine alpha, sin (60 ° + alpha) sin (60 ° - alpha) Alpha cos (3) = 4 cos ^ 3 alpha 3 cosine alpha = 4 cosine alpha, cos + alpha (60 °) cos (60 ° - alpha) Tan (alpha) = (3 tan alpha tan ^ 3 alpha)/(1-3 tan ^ 2 alpha) = alpha tan, tan (PI / 3 + alpha) tan (PI / 3 - alpha) Cot (alpha) = (cot ^ 3 alpha 3 cot alpha)/(3 cot alpha 1 ^ 2) · n double Angle formula: N alpha (sin) = ncos ^ (n - 1), a