Page 64 - Math Grade 11 (Advance)
P. 64

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                  .,n   ~              "'               c<,    x
               Uf.1Jf!ll2   I!H1I1Sl  sinx  sb  cosx  ctlH~f:l'tlStS  tan2  n:ilru  X¢Jt+2krr'  (kEZ)  '1

                              1 - /
                  0
                                                            ""
               tf:ld~M cosx = --  2   "'        2t  2   &SlgM'tlfil~ acosx+bsinx = c  ttt~ctl
                                    2~  sinx = --
                                                                                   rrl
                              1+t              l+t
                ~
                         "
                    ""
                                                      2
           ""
                                    .........
          M'tlfil~wtUn9  2  ttHli'i:flS  t  w1~Hllln  :  (c+a)t  -2bt+c-a = 0  '1
                                        !]
         x  =  Jt + 2krr  ctlUMH.HJM~fil~ acosx + bsinx  =  c  Ut9  ?
                        ~                               ~
                  "'                  ""
         ~rnuunn 2        tr::tlgLNlli5M'tlfil~  sinx+ 7cosx  =  5  '1
                                                                   2
                                                        2t
                                           ""
                                                               ( 1- t )
                           X
               ff1~  t  = tan-(x..,rr+2krr)  M'tlfil~hlHhl~ -- +7  ---"2  =5
                           2                           l+t  2   l+t
                            2        2      2
                    2t+7-7t =  5+5t    'i5  6t -t-l =  0  '1
                                       .....
                 ""
                                  1
                                            1
               hl'tlfil~'i:flSYhl  t =  ,  t = -  3   '1
                                  2
                              1
                                       2
                         I
                  ""
                                                           "
               -  m  t =  2   tf:llilS  tan  X   =   1   &Slg'i:fls  a ER  ttHli  tana =  1
                                     2  2
                                                     1
                     1
                                                                     1
                                                                        2
                           X           0  :>:   X
                  tf:llilS  tan  =  tana  1   Sl<1J  = a +krr  ~ x  =  2a +2kn  ,  kEZ  '1
                                                                1
                                                 1
                           2               2
                           I
                                                               """
                  .,
                                             1
                                                                              1
                                       X
               -  m  t 2  =- 3  tf:llilS  tan2  =  -3  tSlg'i:fls  a ER  twru  tana =- 3
                                                                         2
                                                         2
                            X          0  :;::   X
                  tf:llilS  tan = tana 2   Sl<1J  = a +krr  ~ x  = 2a +2kJt  ,  kEZ  '1
                                                 2
                                                                2
                            2              2
                     tf:lQlS  cos2x + J3 sin2x  =  J2  &tfl ru  r  =  J3+l =  2  ,  cos8  = !
                                                                               2
         sine  =  ~ = J3
                r    2
               M~fil~MHhl~ 2Gcos2x+ fsin2x) = J2  'i5  cos(2x- ~) = J2 = cos~
                                                      ~         3     2      4
                                            Jt   Jt          7Jt
                                        2x-   =   + 2krr  ,  x =   + krr  ,  k E Z
                                            3  4             24
                                       2x- ~ = - ~ + 2krr   x  =  - ..:!_  + krr   k E Z
                                            3    4      '        24     '
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