ࡱ> egdn] +bjbj *x-\x-\<ddXXXlll8\lnE(,>>>DDDDDDD$fFIDD-X>:>>>Ddd, (EDDD>.dX,DD>DDDbD,pǿA>DD>E0nED`IsD.`ID`IXD >>D>>>>>DDD>>>nE>>>>`I>>>>>>>>>> *: FORMULE TRIGONOMETRICE    Formula fundamentala:  Formule provenite din formula fundamentala:  Funccii trigonometrice:   Paritatea si imparitatea functiilor trigonometrice:   Periodicitatea functiilor trigonometrice:  Reducerea la primul cadran: Deplasarea in punctul diametral opus:     Transformarea produselor in sume: Transformarea sumelor in produse: Substitutia  universala:   Functiile trigonometrice: Ecuatii trigonometrice:       PAGE 1 PAGE 1 Formule trignometrice 0C EMBED Equation.3  EMBED Equation.3 C EMBED Equation.3  EMBED Equation.3 C EMBED Equation.3  EMBED Equation.3 C EMBED Equation.3 2 EMBED Equation.3 sin x0+1+0--1-0cos x1+0--1-0+1tg x0+ EMBED Equation.3 | EMBED Equation.3 -0+ EMBED Equation.3 | EMBED Equation.3 -0ctg x| EMBED Equation.3 +0- EMBED Equation.3 | EMBED Equation.3 +0- EMBED Equation.3 | sin EMBED Equation.3 =cosx cos EMBED Equation.3 =sinx tg EMBED Equation.3 =ctgx ctgx EMBED Equation.3 =tgx  EMBED Equation.3  EMBED Equation.3  EMBED Equation.3 sin  EMBED Equation.3  EMBED Equation.3  EMBED Equation.3 cos EMBED Equation.3  EMBED Equation.3  EMBED Equation.3 tg EMBED Equation.3 1 EMBED Equation.3 ctg EMBED Equation.3 1 EMBED Equation.3  tgx= EMBED Equation.3  ctgx= EMBED Equation.3  tgx= EMBED Equation.3  ctgx= EMBED Equation.3  secx= EMBED Equation.3  cosecx= EMBED Equation.3  sin EMBED Equation.3 x+cos EMBED Equation.3 x=1 sin EMBED Equation.3 x= EMBED Equation.3  cos EMBED Equation.3 x= EMBED Equation.3  tg EMBED Equation.3 x= EMBED Equation.3  sin EMBED Equation.3 x= EMBED Equation.3  cos EMBED Equation.3 x= EMBED Equation.3  ctg EMBED Equation.3 x= EMBED Equation.3  sin EMBED Equation.3 x=1- cos EMBED Equation.3 x tg EMBED Equation.3 x= EMBED Equation.3  ctg EMBED Equation.3 x= EMBED Equation.3  cos EMBED Equation.3 x=1- sin EMBED Equation.3 x tg EMBED Equation.3 x= EMBED Equation.3  ctg EMBED Equation.3 x= EMBED Equation.3  f:[-1,1]  EMBED Equation.3 , f(x)= arcsin x f:[-1,1]  EMBED Equation.3 , f(x)= arccos x f: EMBED Equation.3 , f(x)= arctg x f: EMBED Equation.3 , f(x)= arcctg x f: EMBED Equation.3 [-1,1], f(x) = sinx f: EMBED Equation.3 [-1,1], f(x) = cosx f: EMBED Equation.3  \ EMBED Equation.3  EMBED Equation.3 , f(x) =tgx f:  EMBED Equation.3 \ EMBED Equation.3  EMBED Equation.3  EMBED Equation.3 , f(x)= ctgx arcsin(-x)= -arcsin x arccos(-x)=  EMBED Equation.3 -arccos x arctg(-x)= -arctg x arcctg(-x)=  EMBED Equation.3 -arcctg x sin(-x) = - sinx cos(-x) = cosx tg(-x) = - tgx ctg(-x) = - ctgx x EMBED Equation.3 arcsin(sinx)=x x EMBED Equation.3 arccos(cosx)=x x EMBED Equation.3 arctg(tgx)=x x EMBED Equation.3 arcctg(ctgx)=x x EMBED Equation.3 [-1, 1] EMBED Equation.3 sin(arcsinx)=x x EMBED Equation.3 [-1, 1] EMBED Equation.3 cos(arccosx)=x x EMBED Equation.3  EMBED Equation.3  EMBED Equation.3 tg(arctgx)=x x EMBED Equation.3  EMBED Equation.3  EMBED Equation.3 ctg(arcctgx)=x sin(x+2k EMBED Equation.3 ) = sinx cos(x+2k EMBED Equation.3 ) = cosx tg(x+k EMBED Equation.3 ) = tgx ctg(x+k EMBED Equation.3 ) = ctgx, k EMBED Equation.3  EMBED Equation.3  x EMBED Equation.3  EMBED Equation.3 : sin(x -  EMBED Equation.3 ) =sin(x+ EMBED Equation.3 ) = - sinx cos(x -  EMBED Equation.3 ) = cos(x+ EMBED Equation.3 ) = - cosx tg(x -  EMBED Equation.3 ) = tg(x+ EMBED Equation.3 ) = tgx ctg(x -  EMBED Equation.3 ) = ctg(x+ EMBED Equation.3 ) = ctgx x EMBED Equation.3 C EMBED Equation.3 : sinx = - sin(2 EMBED Equation.3 - x) cosx = cos(2 EMBED Equation.3 - x) tgx = - tg(2 EMBED Equation.3 - x) ctgx = - ctg (2 EMBED Equation.3 - x) x EMBED Equation.3 C EMBED Equation.3 : sinx = - sin(x -  EMBED Equation.3 ) cosx = - cos(x -  EMBED Equation.3 ) tgx = tg(x -  EMBED Equation.3 ) ctgx = ctg(x -  EMBED Equation.3 ) x EMBED Equation.3 C EMBED Equation.3 : sinx=sin( EMBED Equation.3 - x) cosx= - cos( EMBED Equation.3 - x) tgx = - tg( EMBED Equation.3 - x) ctgx = - ctg( EMBED Equation.3 - x) sin2x = 2sinxcosx cos2x = cos EMBED Equation.3 x-sin EMBED Equation.3 x = =2cos EMBED Equation.3 x 1 = = 1 2sin EMBED Equation.3 x tg2x =  EMBED Equation.3  ctg2x =  EMBED Equation.3  sin(x-y) = sinxcosy cosxsiny cos(x-y) = cosxcosy + sinxsiny tg(x-y) = EMBED Equation.3  ctg(x-y) =  EMBED Equation.3  sin(x+y) = sinxcosy + cosxsiny cos(x+y) = cosxcosy sinxsiny tg(x+y) =  EMBED Equation.3  ctg(x+y) =  EMBED Equation.3  sin EMBED Equation.3  EMBED Equation.3  =  EMBED Equation.3  cos EMBED Equation.3  =  EMBED Equation.3  tg EMBED Equation.3  =  EMBED Equation.3  ctg EMBED Equation.3  =  EMBED Equation.3  cosx-1 = - 2sin EMBED Equation.3  EMBED Equation.3  cosx+1 = 2cos EMBED Equation.3  sin3x = 3sinx 4sin EMBED Equation.3 x cos3x = - 3cosx + 4cos EMBED Equation.3 x tg3x =  EMBED Equation.3  ctg3x =  EMBED Equation.3  sinx+siny = 2sin EMBED Equation.3  sinx-siny = 2cos EMBED Equation.3  cosx+cosy = 2cos EMBED Equation.3  cosx-cosy = - 2sin EMBED Equation.3  tgx+tgy =  EMBED Equation.3 ; tgx-tgy =  EMBED Equation.3  cosx cosy =  EMBED Equation.3  sinx cosy =  EMBED Equation.3  sinx siny =  EMBED Equation.3  t = tg EMBED Equation.3  EMBED Equation.3  sinx =  EMBED Equation.3  cosx =  EMBED Equation.3  tgx =  EMBED Equation.3  ctgx =  EMBED Equation.3  arctg x  EMBED Equation.3  arctg y = arctg  EMBED Equation.3  sinx = a, a EMBED Equation.3 [-1, 1] EMBED Equation.3 x = (-1) EMBED Equation.3 arcsin a + k EMBED Equation.3 , k EMBED Equation.3 Z cosx = a, a EMBED Equation.3 [-1, 1] EMBED Equation.3 x =  EMBED Equation.3 arccos a + 2k EMBED Equation.3 , k EMBED Equation.3 Z tgx = a, a EMBED Equation.3 R EMBED Equation.3 x = arctg a + k EMBED Equation.3 , k EMBED Equation.3 Z ctgx = a, a EMBED Equation.3 R EMBED Equation.3 x = arcctg a+ k EMBED Equation.3 , k EMBED Equation.3 Z sinx = sina, a EMBED Equation.3 R EMBED Equation.3 x = (-1) EMBED Equation.3 a + k EMBED Equation.3 , k EMBED Equation.3 Z cosx = cosa, a EMBED Equation.3 R EMBED 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