Formulario%20trigonometria%5 b1%5d
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This document contains formulas and theorems related to trigonometry. It includes fundamental trigonometric equations, formulas for trigonometric ratios of summed and subtracted angles, ratios for doubled and halved angles, transformations of sums to products, and theorems for solving triangles using sine, cosine, and tangent functions.
Formulario%20trigonometria%5 b1%5d
- 1. Ѳٱáپ Fórmulas trigonométricas Ecuaciones fundamentales de la trigonometría sen 2 x + cos 2 x = 1 1 + tg 2 x = sec 2 x 1 + cot g 2 x = cos ec 2 x Razones trigonométricas de la suma Razones trigonométricas de la de dos ángulos diferencia de dos ángulos sen(a + b) = sena ⋅ cos b + senb ⋅ cos a sen(a − b) = sena ⋅ cos b − senb ⋅ cos a cos(a + b) = cos a ⋅ cos b − sena ⋅ senb cos(a − b) = cos a ⋅ cos b + sena ⋅ senb tga + tgb tga − tgb tg (a + b) = tg (a − b) = 1 − tga ⋅ tgb 1 + tga ⋅ tgb Razones del ángulo doble Razones del ángulo mitad sen 2a = 2 sena ⋅ cos a a 1 − cos a sen =± cos 2a = cos 2 a − sen 2 a 2 2 tg 2a = 2tga a 1 + cos a cos =± 1 − tg 2 a 2 2 a 1 − cos a tg =± 2 1 + cos a Transformación de sumas en productos A+ B A− B senA + senB = 2 sen( ) ⋅ cos( ) 2 2 A+ B A− B senA − senB = 2 cos( ) ⋅ sen( ) 2 2 A+ B A− B cos A + cos B = 2 cos( ) ⋅ cos( ) 2 2 A+ B A− B cos A − cos B = −2sen( ) ⋅ sen( ) 2 2 Resolución de triángulos TEOREMA DEL SENO TEOREMA DEL COSENO a = b = c a 2 = b 2 + c 2 − 2bc ⋅ cos A sena senB senC b 2 = a 2 + c 2 − 2ac ⋅ cos B c 2 = a 2 + b 2 − 2ab ⋅ cos C www.academiasanclaudio.info