wikimama class 11 ch 2 trigonometry

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  • 8/4/2019 wikimama Class 11 Ch 2 Trigonometry

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    \PBHNENFM\PRKehgm kel B|z Fmkz}mfme|

    Kehgm9

    ke kehgm fkr `m lmcbeml kz k fmkz}m nc |dm n|k|bne nc k dkgc kr k`n}| b|z nbhbe% Ke kehgm TN_ bz pnzb|bsm bc

    b| bz |kjml `r k kr msngsbeh be |dm ke|bjgnjaxbzm lbmj|bne kel emhk|bsm bc b| bz |kjml `r k kr msngsbeh be |dm

    jgnjaxbzm lbmj|bne%

    TN Beb|bkg _nzb|bne

    \mpfbekg _nzb|bne

    _

    _nzb|bsm Kehgm

    TN

    Beb|bkg _nzb|bne

    \mpfbekg _nzb|bne

    _

    Emhk|bsm Kehgm

    Fmkz}mfme| nc ke Kehgm9

    \dmm km |dmm zrz|mfz nc fmkz}mfme| nc ke kehgm9

    b" Zmtkhmzbfkg Zrz|mf n Mehgbzd Zrz|mf

    bb" Jme|mzbfkg zrz|mf n Cmejd Zrz|mf

    bbb" Jbj}gk Zrz|mf

    Zmtkhmzbfkg Zrz|mf $lmhmm fmkz}m"9

    Be |dbz zrz|mf ke kehgm bz fmkz}ml be lmhmmz' fbe}|mz kel zmjnelz% Nem jnfpgm|m msng}|bne bz :3??

    xdmm

    nem lmhmm bz xb||me kz ;?% C}|dm% \d}z ;

    ?6 3? fbe}|mz $n 3? " kel ; 6 3? zmjnelz $n 3? "% Ke kehgm nc

    2?? bz kgzn jkggml k bhd| kehgm%

    Jme|mzbfkg Zrz|mf $hklm fmkz}m"9

    Be |dbz zrz|mf ke kehgm bz fmkz}ml be hklmz' fbe}|mz kel zmjnelz%

    Dmm ; bhd| kehgm 6 ;?? hklmz' xb||me kz ;??h'

    ; hklm 6 ;?? fbe}|mz' xb||me kz ;?? '

    kel ; fbe}|m 6 ;?? zmjnelz' xb||me kz ;?? %

    Jbj}gk Zrz|mf $klbke fmkz}m"9

    Be |dbz zrz|mf ke kehgm bz fmkz}ml be klbkez% K klbke bz ke kehgm z}`|melml k| |dm jme|m nc k jbjgm `r ke

    kj xdnzm gmeh|d bz m{}kg |n b|z klb}z%KN@ 6 ; klbke $xb||me kz ;J"%

    Zbejm |dm xdngm jbjgm z}`|melz ke kehgm nc :3??

    $< bhd| kehgmz" k|

    |dm jme|m kel |dm kehgmz k| |dm jme|m nc k jbjgm km be |dm k|bn nc

    z}`z|melbeh kjz'

    kj K@KN@

    < bhd| kehgmz jbj}fcmmejmzn |dk|

    KN@ 6kj K@ < bhd| kehgmz

    0

    p

    p

    N

    @

    K

    ; klbke 6p

    0 p

    < bhd| kehgmz 60

    bhd| kehgm

    klbkez 6 0 bhd| kehgmz 6 ;4??

    6 0?? h

  • 8/4/2019 wikimama Class 11 Ch 2 Trigonometry

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    0

    ; klbke 6;4?

    lmhmm 6?;4? 8 3:?

    00 ;;6 =8

    ?;3 00 emkgr%

    \bhnenfm|bj Pk|bnz n Jbj}gk C}ej|bnez9

    R

    T

    _

    FN

    R

    T

    r

    t

    p

    R

    T

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    F N

    R

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    T

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    F

    N

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    FN

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    Be |dm k`nsm cbh}mz' Gm| NF 6 t' F_ 6 r kel N_ 6 5 ?% \dm jbj}gk c}ej|bnez km lmcbeml kz9

    $b"%r_F

    N_

    6 zbe $bb"%NF t

    N_

    6 jnz

    $bbb"%r_F

    NF t6 |ke ' t ? $bs"%

    NF t

    _F r6 jn| ' r ?

    $s"%N_

    _F r6 jnzmj ' r ? $sb"%

    N_

    NF t6 zmj ' t ?

    \bhnenfm|bj k|bnz $n c}ej|bnez" fkr kgzn `m lmcbeml xb|d mzpmj| |n k |bkehgm%

    Be k bhd| kehgml |bkehgm K@J' JK@ 6 K kel @JK 6 2? 6 .0% Xb|d mcmmejm |n kehgm K' |dm zbt

    |bhnenfm|bj k|bnz km9

    nppnzb|m zblm@J

    K@ drpn|me}zm

    bz jkggml |dm zbem nc K' kel xb||me kz zbeK%

    klikjme| zblmKJ

    K@ drpn|me}zm

    bz jkggml |dm jnzbem nc K' kel xb||me kz jnzK%

    nppnzb|m zblm@J

    KJ klikjme| zblm

    bz jkggml |dm |kehem| nc K' kel xb||me kz |keK%

    @

    JK

    N`sbn}zgr'zbeK

    |ke K6jnzK

    % \dm mjbpnjkgz nc zbem' jnzbem kel |kehme| km jkggml |dm jnzmjke|' zmjke| kel

    jn|kehme| nc K mzpmj|bsmgr% Xm xb|m |dmzm kz jnzmjK' zmjK' jn|K mzpmj|bsmgr% Zbejm |dm drpn|me}zm bz |dmhmk|mz| zblm be k bhd| kehgm |bkehgm' zbeK kel jnzK jke emsm `m hmk|m |dke }eb|r kel jnzmjK kel zmjK

  • 8/4/2019 wikimama Class 11 Ch 2 Trigonometry

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    :

    jke emsm `m gmzz |dke }eb|r% Dmejm zbe K ;'

    jnz K ;' jnzmj K ;' zmj K ;' xdbgm |ke K kel jn| K fkr |kam ker e}fmbjkg skg}m%

    En|m9

    Kgg |dm zbt |bhnenfm|bj c}ej|bnez dksm hn| k smr bfpn|ke| pnpm|r be jnffne |dk| bz nc pmbnlbjb|r%

    Pmfmf`m |dk| |dm |bhnenfm|bjkg k|bnz km mkg e}f`mz kel mfkbe zkfm kz gneh kz kehgm K bz

    mkg%Zbhez nc \bhnenfm|bj Pk|bnz9

    \dm cnggnxbeh |k`gm lmzjb`mz |dm zbhez nc skbn}z |bhnenfm|bj k|bnz9

    Bz| {}klke| BBel {}klke| BBBl {}klke| BS|d {}klke|

    Kgg pnzb|bsm zbe ' jnzmj pnzb|bsm |ke ' jn| pnzb|bsm zmj ' jnz pnzb|bsm

    \bhnenfm|bjkg Blme|b|bmz9

    Ke blme|b|r bz k mgk|bne xdbjd bz |}m cn kgg skg}mz nc |dm belmpmelme| skbk`gm% \dmm km |dmm c}elkfme|kg

    blme|b|bmz besngsbeh |bhnenfm|bjkg k|bnz9

    b" zbe0

    ! jnz0

    6 ;

    bb" ; ! |ke0 6 zmj0

    bbb" ; ! jn|0

    6 jnzmj0

    \bhnenfm|bj Pk|bnz nc Z|kelkl Kehgmz

    Kehgm Pk|bnz Zbe Jnz \ke Jnzmj Zmj Jn|

    ?? ? ; ? En| lmcbeml ; En| lmcbeml

    :?? ;

    0

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  • 8/4/2019 wikimama Class 11 Ch 2 Trigonometry

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