Page 59 - Math Grade 12 (Advance)
P. 59

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                                                                               u       1


                       C(                      c:.        ct          eJ      Q    ~
               "HS?l'!:Hl f(x)  = sinx  'HlS2'U 2n:  Sbt:hHS?l'i:3SthlhltHS"H!:r:lbliinihlnn  ?1  [0,  n:]
                   1                    IJ            1           ""      l)    \j"
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                                                                    el
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               "HS?l'i:3S f(x)  =  cos2x  'Hl22'li  n:  sbt:hHS?l'i:3S?JtHmnr:lrninihlnn  ?1  [0,  - ]
                   1                      \J            1    u   ""     l)    \j"      2
                                                                         u
                       et         X            c:.        e1          e.~     c::.,   c:b
               "HS?l'i:3S f(x)  = sin- 'HlS2'li 4n:  sbt:hHS?l'i:3StnHummgtr:lrn;n~hlnJl ?1  [0,  2n:]
                   t              2     u             1            ""     L:iu
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               "HS?l'i:3S f(x)  = sin- 'HlS2'U 6n:  Sbt:hHS?l'i:3S?ltHS"H!:r:lbliinihlnJl  ?1  [0,  3n:]
                   1              3     u             1     u   IN     L:iu
                   0          "'  ,.
                  or; m g H ~ ?J'i:3 sUl tfilM'HlLnOLl:i g
                                                                              0
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                  ~9l'i.JUM :  f(x)  =  sin-+ sin- 2'li P  !:S  f(x)  ?Jt:htl'Ul?JMmnO'Udn!:S 4n:
                                       2     3   \J                1  1   \J   u   1
                               ~                ~            eJ      Q   c:b
             b'Ulnr:sg  P  = 12n:  r;mru f(x)  t:hHS?l'i:3Sr:hlhl  mmgtr:lbliin~hlnn?J [0,  6n:]  '1
                 1                          1             GV     l.j   ij'
                                                                  u
                    0   110       ~           C\    1    ~       cf
                  fJJtmtifijl:   hlnJlHr:tiUilt1 sb M{1LfilutSH~?l'i:3S  y  =  f(x)  =  sinx( 1 + cosx)  '1
                   cui'1w:
                     IN
                 el   0   •
               "  r;r:lSnruln  D  = IR
                             "'
               "  2'U  :  HS?l'i:3S'HlS2'U  P  = 2n:
                 \J      1       \J
                     ltmg  f(x+2n:)  = [sin(x+2n:)][l +cos(x+2n:)]
                                                            0       •
                                    =  sinx(l +cosx)  =  f(x)  mmg~u XE  IR  '1
                                           "'
               ".ffH11=i  thlhl   f  t:hH~?l'i:3SthlhltLmg  f(-x)  = sin(-x)[ 1 + cos(-x)]
                     u
                                                            = -sinx( I + cosx) =-f(x)
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