**TI82** TxtView file generated by CalcText - Kourid UtrigoUSĸtrigonometrieI. Relations de base cosē a + sinē a = 1 cos (-a) = cos a cos ( pi- a) = - cos a cos ( pi+a ) = - cos a cos ( pi/2- a) = sin a cos ( pi/2+ a) = - sin a sin (-a) = - sin a sin (pi - a) = sin a sin ( pi+ a) = - sin a sin ( pi/2-a ) = cos a sin ( pi/2+a ) = cos a tan (-a) = - tan a cotan (-a) = - cotan a II. Formules en t t = tan a/2 1 + tē = 1/ cosēa/2 cos a = 1-tē/ 1+tē sin a = 2t/ 1+tē tan a = 2t/ 1-tē III. Formules d'addition cos (a - b) = cos a cos b + sin a sin b sin (a - b) = sin a cos b - cos a sin b cos (a + b) = cos a cos b - sin a sin b sin (a + b) = sin a cos b + cos a sin b tan (a + b) = tan a+ tan b /1-tan a tan b tan (a - b) = tan a -tan b/ 1+tan a tan b cos 2a = cosēa - sinēa = 2 cosēa - 1 = 1 - 2 sinēa cosē a = 1+cos2a/2 sinē a = 1-cos2a/2 sin 2a = 2 sin a cos a tan 2a = 2tan a/1-tanēa IV. Arcs remarquables a(°) 0 30 45 60 90 a(rad) 0 pi/6 pi/4 pi/3 pi/2 sin a 0 1/2 rac.2/2 rac.3/2 1 cosa 1 rac.3/2 rac.2/2 1/2 0 tana 0 rac.3/3 1 rac.3 infini V. Formules de transformation de produit en somme cos a cos b = 1/2 (cos(a - b) + cos(a + b)) sin a sin b = 1/2 (cos(a - b) - cos (a + b)) sin a cos b = 1/2 (sin(a + b) + sin (a - b)) cos a sin b = 1/2 (sin(a + b) - sin (a - b))ĸ„c