Page 67 - Math Grade 11 (Advance)
P. 67

PROEUS DARA


                   t$     ~
          2.    ~~m;~t":n;~e~e  asin x+bsinxcosx+ccos x  = d  tt1ill  a,  b,  c.,o
                                               2
                                                                  2











                                      2
                                                     ""
                  J.o
                                                                    ""  do
                ff'l'W  t  = tanx  tl:lQ11'l  3t  +3t-6 = 0  M'i:HflHSZ'!:flSYMrlHi  :  t =  1  ,  t = -2  '1
                                                                           1
                                                                                    2
                                              n       n                         J.o
                t = tanx = 1  tl:lQ1S  tanx = tan  4   , x =  + kn  (k E Z)  '1  t = -2  ff'l'W  tan a.  =  -2
                                                                      2
                                                      4
                 1
          ,  tanx = tana.  ,  x  = a.+kn  ,  kEZ  '1  fU~fila'!:flSfH~[)j  x  = ~+kn  S~ x  = a.+kn  ,
                                                           G\J      4
          kEZ  '1
                                               .  4 x   4x
                                              sm  -+cos -
                                                 2      2     2       1          2
                                                    .    - tan xsinx =  + sinx + tan x  '1
                                                1-gnx                   2
                                                n
                illn2 M  sinx ;e  l  ,  cosx ;e 0  ,  x ;e - + kn
                  B   S                          2
                                     .  x   2x) 2   .  2x   zx
                                    sm- +cos  -  - 2sm  -cos  -
                                   (
                                       2     2         2   2    1 + sinx  +tan x{l + smx)
                                                                                  •
                                                                           2
                                             1- sinx          =    2
                   1  .  2
                1 --sm x
                   2                 1     2
                     .   = (l+sinx)(- +tan x)
                 1 -smx              2
                                        2       2
                                .  2  )(cos x+2sin x)
                           {l
                   1.  2
                1  - -sm x  =  - sm  x
                                             2
                   2                     2cos x
                    .2             (   2    .2    .2)
                2 - sm  x   (   .  2  )  cos  x + sm  x + sm  x
                        =   1 - sm  x
                                               2
                   2                    2{1-sin x)
                      2        2
                2- sin x = 1 + sin x
                                                 2
                                             3sin x+2sinxcosx=2  '1
                                                            2
                                           + 2sinxcosx = 2(sin x +cos\)
                                             ttinH~ 91~ ti at s M~fil~ s ~ cos\., o  '1
                                                  A
                                          ,  tanx = 1 ± J3  '1  ff'l~  tan a.  = 1 ± J3


                       tanx = tana,  x = a.+kn  ,  kEZ  '1

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