Trending ▼   ResFinder  

ISC Class XI Notes : Mathematics (Trigonometric Functions)

17 pages, 126 questions, 1 questions with responses, 1 total responses,    3    0
Prateek Gurjar
 Kabul 
+Fave Message
 Home > prateekgurjar >   F Also featured on: School Page isc11

Instantly get Model Answers to questions on this ResPaper. Try now!
NEW ResPaper Exclusive!

Formatting page ...

Handwritten notes and problems by Prof. M. L. Aggarwal Topic - Trigonometric Functions -* ( ( *'' r -vv-vr !!& >Rd----,e- J e)*P& G* b,T!+( G) J c%$\*)!X'A&5V) 6T \77h7r G J- , r '!0-!! )' P & k 'b , &, rTT*9 k $!%$&*** $]PP*, $9c*&)55*J/ #!# !L* ! k Y--c >b--r TT' k $aW<p- r r!;i 2i b-, . b7-0 %) - 07 k ' , \D k // ) PBJ OP**)& (()3 d ' D GI( rY,- <i-( ,77-, Y9Y&bT- 75***cg*****%)):C& $555 ) \ )g&$!55) K(.%*5L ,,*9 T&'-+ Y---c<D+-@6 :c* $9P*& k X-, b,&<d--(,77--r k $] k *9 r!P- ,7Drb7 --& 8E/2 r- k( %Y& k!$(**C)J())!L* !,TT( AW,,m,:,, ke& (W +X!(!!9P* D-cr .^!+,>;,,,B,&!((,7-r<i W!A**) * kQ(7n k$&*)P* ,! -& k)>--+\(!&! I-- V #+% (..))R (Q * >k( IN'')-& r r!;0 V L B' &a k )55****>9T,= r k Y& &**** L'/U0W/ Ae&W,,:, D $)! r v-----rr r&bd-'&i ,*dm(,,, i --c&P k%YI'2C& )55* )(5!((*** (]**5**8%WY':A*&)65$)X***5 a*5** $!!) C(- -,,---- $, ?]%WY )(*& ! Q Z&**ooo*** * k *, C** >,?!&0i /<&4 , $C)k *oo*** $L BX$!$- :, D-c /r &,, OQ/ [c Ii, , 2( , ! +&***ac5*k *o* ((& )*65* ) Y-d[ , * b=----<T-,a&q $) @ '@' =Zd, ,&/(VV r&P- k)$5= ,* +C5** $97* , r ,&,W( Y---d'm+,&'( O1(?( &0( 75*%& A) b=--- 7 Y2,&2 ,* T r&C Q' 0. $RR#;% 9** ( 8!&'58 , $9M )65*00,7-g ) k v i7-<'Q,C ' !7C W9)*****oo* &P B(--7 &T-+(-v--- Y7-h,&BY7&Z -. r '(----7---br,!;&,(,77Yd(T- Y--+9-7i*<-(r, r!&&P-. $, )P r )55*( Y7-g7;Mi,&P(,:,r v--r-C C))JB ,,g ' :j r&,m 9@!!T 4MT k:7** (--/+ r ,:, r k!L*'cRQ5 *** P C r kk)$0$P)5** P)*c;) &^-X)$P *& > 0--=-----r*Z(,, K T***;)) ,:, T-. M<&Z*,>-&(!r&G QQ +(& ((!&P>C(!( C)))J R ' [c &;id 755**a*9!9ck ,r-+-- UO N/ ( * ,+ ( \eYY& #%))) R?)) 2?)&#L Y-d r,r k k !9C'$\ ;* !( !$55**** !!C T****!( !$9c**)5B* &D- !T--, I( D--c &P-0i,b >g-; !;id , &T---, ^-7!&r ,&'8( r!+'<B-*,&0( r C))J '!,,0( rr&b( !777-ri---&b-<i, T@!"""''"E r r 0--$9C ) DA$9**** vvvvvv--+ +H!!T+J( '//((( TT!!A" r( &/ $!$) k$!( k D M@)''R ' R v--v -C8dr,77---!TY---+-++<i-,0-rm &0- :59''''',8&:,3'' T , r X7177cR****k ,* bW-, $, )P)k &TdD c) S****!9PS****$U ) I26O(#"A;))T CmY&* E^ r 6 aa '&v Wa*!;i ' '0--r 9!& : Y-c$9c '1, r k : *,<i( ' B9(5*!! $P***k oo***,,m( V] %k &*<T-(<a9 ?_59C ,* ',$- Q!L*& am r :- !7- ci^!!07m c76a9$-g* ) ,i8 0NT R $!;*& O; '<, r , &(T( r %`52,r( _W-,>&T ,,,m( id,<i- r ,r,,o---rr& oo** #>)%ON/&&&& %6*C ,7m( &77*Ck!!! **o* .c^&,--7-C-,* : $e b7W-, D, XR)!9ck 9, , < -- B7-H-----+--&T &P ,, r3*!;+,(rr,<Y-(i D&0-,7;i-- &0 [c /9 !C *,(((S4(&G$",((TV' k!$*7* k B^!!+ %)7$'k& ' **( )') F---vv-r 0) &)6* $X "8(!!(# g+'6+0( (( VT$0 &b&QbX**5* !)797 kk >u r kk $.F k ***** 'ep2, !T-, (T -2(#(JF' D(KT'@' T$ T +9)5\;** P ][--+ TT/7! r +]G VV 7*K' XX & Y-cr+, 0--_h b+ ( (T( "! @T/ AA \k >m k( 10---D!! $)$ \T&0-=d'v !C Y-0-j--![ !X( **r-7cr VV &^---= !, * .))% *+ * Y+rr,* &T( Y--D---j r )55* (XX(( T)"8(' 4(J$'$)' ,* k$P*(* k+-)) 5)**** *)))QQ k k B+ 1CK 0 * 077iD da ' !(----S!>& . MD------ +X$((5k%&)55( , ) ! 770 ' 6 ,& 0,-\> !2) R#!# R C))J ',9 )' $9()8Y a&55* ' Or <+& g! ?^5-C---, ,:, k $)) 4r T* >- ( )8) &;ir ,:, 2, r B-5 )') A CW-&b' 1$C K.#?)! mr , <$F r )8) !$ 8' A B('&(+ [ P*** S$P****o 0) H( r !T--- '7 N1/ T r r( \b!$' r,0K88!&* Y-hi 00K!!, rC-&>! k k& -*** )-* rr d >X( C rY--( bi0!,*r+!++4T&! V kkPP^ 3'/!"!J'"00! Q T(T T e$! #B($ &3(0"'($C!! Y----cT-***' rX Y0 k* bX( >,c0-X -vv- I<9Q $!K S?V r!! 9!! 4)7* o r+- ,*, `(--7-T---- $-3!$)rbd--&,i c( N )' +<A**& k -m( &Lr \k& 65 >D( I* rr( kTB*D*k k <S& [[b-( 8 , $L kk '0* r( r rr r ii---r #6F%%\'Y-g+I$ 7** 02, pn *069 O* Jc& : r &1,r )8*!$N*** -!P <**_*/* 09 ! $- )8) $, k1 D[ 4CI))% -D b " ,m7--\ 71** d] &,,5 &1,! NR)) )..)') R ( DD(($ T $)79 Tk&k 44)% #? >X( -** .&!&&&&& T0,, k!$C(#kk!! X- 8)! 07'2--6;\dV 4i-,+ &(--)-*;*)-*T! ,* r &TCY- j--r r '6-( Ak 'Yb( r 'Y--( **C !T---, >X( , r ,,gr 97[c #0($(((( ):, -. #r- j,- Tr < ' 0) bX( + bY,( r R) i7--c A J= %*!A*&FK((&! %C& k!(****(!! (*k ^- ;;)** ? )') >dg-; 2F% R C_ T-( = 0,S07 & !! TC******** /p- ,m&2*&W,o--*!R--&<9&2 (+$ GE.(? r 44% 0 , -( 8 k ba( 0-, r, r 4(N2 K ( b-W--(-0-- ?4#. ' !@( T$ >X( / ,& !1, -8-ii---rR&(#:&8 R R Y & Sk [c r ' P* %7**&) 0 r( rr 4p bD-YC(--D <>,2;d' a(W)&*)55 Z$U Y-g+ r ,*, &b--]( Ak b[--( k r( &-b- 7&( 5 $&C6 T = !R-- r r ,B, r_( -8-5C*k k !Tb r r &<T-( )') &+eV *,!<- &(' --7+ e$!$ 8 D\)* 7*5B' P-* k ,: #7 !1--,<,-( (7 Dr( ,T Er 0, W-,Dr %, C/ : '77,,i, _i ,&!T(r )i( RX*&*k 'K( 30@(*%T '8$ WF,,-r 17$ @H 0)C))% 'X( ar 7i7-[, 0r- 8 8 N? r . $L*(k ( ;G)T )) T \b Gd,C- Bd--, bW,'P7 ` i! &,i 'C r IR T = 'Y-( )b* M r!&, e!! &0rd r!&, h8 4A)% O#1( C)%.- i ' k K T k* bY-( T-7B- , !9-- r i- K-b\ ,* " 0, ' ?^ -C, k ,,, $C &2 #E($cdaE c kk k 2. $C8%0, -) WW k r!&,TMG k kA^$! r( k k J= C7D--%+&)C) !&d&LC k k.& 7>)& O, kF[ $:*WW : ' Y--( 8 >X( $P**) 'Z-( :$ %#' ! ,:, k *C k >X( *C Ic*****$!$\[+r _r !r&&&&, Bd]rE! +rr r TT -**** r( 0. / 7* 75*& -) -$-* ' e777 GO(&+ T 0, 'q( 5 5*k*7 r( &Dr $C))7 A). RR!(( r i''6-( ,77-r!&T4 ' br. 0,C %BBk >Y( '--i(T-+G rC &TC r +9 *k : /' f r_r r 'P + JY-------- r b[( WD! DYrC D r K))& &^,dr T MK( r )c%k& k \ A RVWJ) J= = ): * _i--9id----iC ? (W*** nrr 9B, r +1-#+ bY( r C-Xt!07-0 \i<b--(,:7 c 'Y-( r ,:, K- d(& ) , 87- &iB $] @r-. X+ bX--r&NYi---78- r[i9, = = \0_'--'(*i-pb(&,,7+ $-!7 Z bdi( !+!++++, 9\ r '[i( M? r r id ,,\>-g-*Br -`[i-( J ?- (*W%\& \'<(*B( >97,( Wj-&'A&'%$, ,\\!^( , Yhp& 7i7r Cc &^&',77aa)$iD-->k, -5-********"@$D((T Y-hp7&b,+' r 9h' kk %` k W%$M\& k &1-r&^<',& Y--7hi-9 !,,dr 'r( ( 4C))% W%k'$-*&b&-7-(,ii!^,2,0-( -* &1--,9&p;!,*B;7r<Yb W----------i- k'Z9555 &Kqg-.iD--[-,r&!TCY-bj----ir k$59j P0) 09P5g* b>-( $C 0-717 r #=C)#(#(#(#( Yp -r >X( K ) ) ) * k %-*5X )A& X'! r (*+! bW-(C b7B\- ?)k '/ **Tr *'K( ,T B7W,r (i, W----i N!! % QQ &Q, r b[--( r i,W------W*9 k e--- k] !!!T** - r -P rY--(, >^( -+ &_7-D,W-70* [g Y--C****k [i $/9/9* r rX( r r,0 !,rbi<i,+7d r B A, b r >Y7--(r,+ +.8^!,D&--' rB--k[------ +$X*55 !b!&! dr r _i---!!, M?- N2 & ) O))R!#: ! r 9pab-----r&i7--r8!! k, +-*)$8A bW-( Yg,,---C-'; Wc r $M$Sc\c6 >b=-=-- r 9DC-!&,r -. ]*!$P*** !Ic****** k )7 k k A----i;--!^g,r Z,i^_,Y- r 17- 1. %75*&m- C)&C) S *Y, k& rdr 2 -**k) r -Y7r(r rr 0 Bi---- W\& *6 ,* S k !! &Dpr,77775** b-r T,/-----, (C ' k // =--ddr <S*$P k $--**$H! Y7 r ck gi-, r l' !Tbr $)*))) W;) >5 '[( Xrr r Y77---C-,dr m& )R*****))**)eW-C*(****** k J rr!!+,!+--i-r&T-,&!rY----- r7b- --Y--g-+ r W Bi-( )I.8)))R -.7C-------&TCd--C-+-----r f rrT-+Cr !-+----rrr7 k-; c W+ 'r : 6" $/ r $+)$ r B'- + J= 6+' ,gg 2c =--r +=-!7f $E77 ( v--v-v i M? - ? , i #B($ +( $??,%R $B% $C)% 9g_, r!&, *aa k!! AS) &Tb r iA- >Y7-( i iW-( r k&Kkk ( +ri5 Y bY-( , $I))%R ih r ch& )aCk &TC YC+-j --r r d] ] r TC> A >di( , B;&!- D EKR* [c 6) Y--d O>-p( S i-Yd bi] >X( + &(-r &0-, # *)& 'Y--( r ! r M= )A r2- ,: C-A( 'X& YP ! l**)* \0* $4)%/.(C)) 'X( ' ----0---- k& $-- k =- )7* k -=- ,77-+ 'i-(-8 _- r&!5 J= gn g[ #=R $KI)% --*) AF)O8))E3(O(r!ar*-Eb--r*r!+,7 -0T '[;i(,&(-j7(r 0--`+-- ,-D- !#C)-)))R RRR -BL7- #D(($ T ' X( r @ Y7-hi- -BL- d( Ac* c>-( 0-&0- ,gi, r C)HRR) Y--g+&b-rL -vv-Y---+ r I-))))( b[i(---D bW------BL- ac Pk!**(k ,T, Y--c '- r r %C,,( , ):, i[--( (' - kk$kkk7" DW-( r r 95 - -+-r !,b 4'/ '4( , $) Y-a-rYp- -^-7 &! --. aa oo*k! * r /-+ r !! C)R Y\ $PWP)c) ^T-T-+-T'+<!"+'!( T "! !$! %S& / C '>( !X ,( +&**)WSP &QT V T-77. Q A* Cd\ RP%.7))P) L* &0-- ,- RR $X N( **+ ,D 'Y--( r 0--,(-- &&'TC(2 YhT& Yc) r!i-8( "!&, = oo**o** c-) Yg_,r SA--r rrrr r\ kk'kk)')k >^( r )A T---- GP,T,+ ,7777, $! k \dCDd-lr cJ %P0"!@$T Y,p bY--n C** r r CS DWT T Y--d AAA 8c + Y--c ;6< r W--j-r k k $9) k r&.-b *****( 'Y--( $C R8 Q &!Tb i [[b-( , 7* Y-( W r 4BO($k!!)7) k rY+a (&7 5 , ! 5 J= d\ bX_ !Ic) &T(Y--D---r r-- B Y-c-bBL r 6T %k& c 4I)% R 2U-- \Dr[b D\ -+'+.M) $M+< R :P;59 ild &T 6T 7'1O $ S% R*** gYk,-g,,,Y:-CDd--,--i r $(#(% rM, kk k 0) R +?T"""*( r 7.()C)($K,B, iWr. r 1'. B2! rs,b r i2 IA( )7* bW-8 r )') %Y& (i------ \&TbY-^--v-- T R e--d_j-a8&,N`0 k [gp rC-- Y7+ 6< [( ,:- 0-I----br,& r n *, r r =(5 r K!! +d+&T-0--- (k %S&k k $G#% C7a-- &TC Y^-------p r . ' r( V 0-- #( & 3 9C_`( ", !-C ,9 bW,W9b=, n B,W-,YT r ' [-( D Y7--arr r c8 65**%*******%$F****'; >X( 3) '[b( , %75*&) k k k 'Y---( 9-_,,( 5 ' ,-D--- OTR &b k ' bC-? Yhp ^---r &Tk_; !!d* ,0, I3(R $D)(% *C $&* ' b= 1'. i :R3:0 (11) +# `) C N+;,!c&, r KSZ'5 $O2)(((__%((` (( UA8+j+) (rr G,, r &r + + fc' r ++ ^ +X9r !P : XN d q *u%&/,+' *f &%&/,+'&%&/, +* +) %)9T+*&P +8+ !.A*n+(F++h+*Lq-%$ $)$ f $c$U $9 +; #% + +=+rr !M + >K !T+$T r D S: jD= r + %+0,,+%+r %$q ,:373)` : + $9 $h+ * 7:+ +o,, -%$9h* +; +; m, r `#(9#(3 G,, ,cExxx +r %/ + +681 .$$ :: !!%99< ,D " ,D q+g * :_& rf%q% ^$$!*7++ +,Z,,, r, + + :%5 V ( )+++*5 D] ac q 9\< //3. $& ,L8 :c%!c .& V +ww ,! W xx,, ))*:`8 W D, /. VTG +E' HR:S)!5(Q%J &,,/1 % q !8T ) :2>5 $& T((<)<U!#'(D! ,c,c!!U +88,, D] +2'24 9N%jlj- /,,+6 %q c)#[c % *0 , R + _\+q (9% EEj4)X3%&<% 0< $<(C& q *" & ,/5/, + ?D<9<++ c + _ + %/ I:#Y` 7$$ *5 ;T(<<*el F (12:RY!` %q f ,-'r " ('( D,,, %1 (111) r !!= .!$b* %' B( ++=>*c8 !!*&Dr>,r r T+c Wc `cG M` + T*+ M r ,(&-%! /)0' #; U!+ +9 r %&$b7* fKY' %!%+r %dqq$C+') f%/,U!rU,'r !)*$hMD &,*frr rrc*r' +;, $! o (+`p& %.*q %D *:h&Zq ** &/Wr r ;+ U+Mr * qP*!h+ \* T* M V 34(, H) 9D$< q&b+ + q **777+ ( [) + q %B*q U,,, V X < r **r!%!r X 2))+,] qq*:* :!c,,/!/,r+)+:</,,!/,r?j!a *T* dF !b++ q& !& %))#!!!$/.( qXq * 6 /) L&+ +88,, frU !T7m q +F T)]22[2<. FT++ ++w++ q ) )'c _f E,$!$*k T *: )*7+) M! r + + +)+q !b7 $! q www 7; %c,8;#< ( $.+**77++ cc ( ))) # ))))) #2F; 222) >q H(R''H#2!] ..U, **%9%O $!h $ K%%%c, ?c%+9' U, ( j7; * $*g) 6 ;,+6/ !%! $8h! M! **+9+ xxx %!U,r +888888E ($ #&%$! !$*$8$9,ww Jq D111: ` !/, %/ !<c#Qc $& +w !%%%%?-= .+ *777+ J$.+CN< &qq ! 9+C< !!$h ND q $ )))#% # D5 . %/ *:* .%%%%1%/ * ( 77+ *L . !h CN<& $q b++9*$; $* *+77++-%+6U !!rr + +*!&, %+J&fG M< $!.+ *7++ 9 )d cf% W #! w+w ) +;+ &9Wr * .( q h $ $dd S)(% _f +)2. !$*$8N!h * 9h * q + +8$&K!C+$!7$o !$!s 777+ -5T ++ *T++ 9+++ * ;)#( 9$<+)F+T++!!!$7!N %=b+9$! Y7qq( W/6r' $1#S))H#`& f%U*r'+ 6 U, * ,(-), !#1(_(#% +) 83ff &!**+%/!.+8*j7*+5; ,* ` ( 11),(. T$d!h / $M< * ww q q -*) &.] $&q (Wdd $.$.+ F6: %' )' #( C5 ( ` *777++ $T+* %!c?L ,xxx,$8$N!.++*77+ ww ,8d+O ( *7+T+ * $'$$ " $$$$$ 2(`#< !!% *,3U(T9 ,,3Uk8< T q * 1,%=.!! dK&pm< ++j% )2 ; + ) %c *77:* r!%j+rr!U,,jE/+ *7; !$c ) w &.U% %! \ ` wL V95 ,:3 U +9+lD q +;+ r %U8,$!^YD< ()\cJc ( ?-!%,? +jg r ) >!1: dF*, $ )X!#,)) #! $_9,*$f*J! !.+7*9,& * q$hq %!V9 88, j *.+ q!h r+h( w+ 72Tq C **)+ * C* ww LC * !,# + ) N!C*qqq .% +! +Z % =&,)+%/ ,xxx, ! r h.[5 r %+? b q( +; S1 r r %0, ;)) 8)[5 Of i (32]2 F $(T Gj r!! ]cjl+ !+W %XW r ( ?f= r ( =c% f]+ /,,9' D ` #(( /,]' c /rE %88 = hZ,j,j% ( /,+rI %'c?E' [q[ ` r /#, ` +j+ &2= !S,, r %'G, r%! Z * cX,,,,,5+ hW+++*$. h8,, r +;8* Y,,+!%+3*$. .,+<+ +;+ Z8,e+m >!' $. ?fe +o*+ %Zc9P#P!!S( Z8,,e=c, @4 chX+ Z,,,**=D, Z,e%/ W)))T $!R++ & `6Z4 Y1q $. q)$R+ M?) c r h7c*l(^+* ; c c g ` . r%U,,,,,& 7S4 P)v T$&+++ w $+ *(* rcr!h*+= ,D' r=j 9 7945L!4' V q! hX*C& 79$7 Z,,*Qh r8c\ e q$. *. <j!!* >+o& cc 0,22* Ccc//cC/#! U,//,,, rrrf+f rbI Y++d4d$! , +G+ r U' r ; \b+ ))))$FcY**** Z,,*E9&6v +888.-V //, ) 5*+ TD++ +88, ,r 5r 9@Lfrr %!r&' r r 2/,,2 r r%c>. !+ r!% ++,%+_& r L] >, ,*,,r%r . -< ,!%+D,,*,f:< . bX+ \e 8W-))+ / + r%!%, %8<jj'+; + # f j*r r =)c $:*q +++++ $& !+ ?_ "# & 86*C! c#!# r*Z $F,<!$7+*ffW/,+frWr pI) , & Cf & Z,, !U,,, L! Z,,*,*%</Ux ]2)W5,ED, !99, 8_6 s !^+ 7 W+ c, " ' +88 Wr 9Y # !!+ #J))\! xxx -'f ) E+*Cq ))):7 $%Tq**%q )%6 3," rrWc8m,+g h$ c cr r+r' !%8, C(q*9qe c`(2( r,! rUcG,c+r,]< q W jf+%*9+* jX,,I q T *T*hW*++9 c,8ij+,: r r,:88 V:2)))( %; ( 9$T ww V r,, + hW+++ m .* %T + c%G T Z,,ec+J f j+r q), *:* /2+ q)* cr C* VV U8jrg $. V U)jr,,c, *C f$T C(T+!$8e U+ /,,b+\,8+ J ?jhj)9 l8r r)!%Z,,,E+*,*>,,cfc9, T*(!h+h=7f +889W $&++++h*q : q Cj<pJ,, *:* r E+ $F /++ 7) Z,,,*2 ( b+ _8r c9* S` r *F* q /,,Y,,%++gf = ( J T*q + ++++,889%+ )** r Z,,!(D!,N*'r C +888, TH*e$ * q C q :!!%+Z]=* cr)Y' + b% *-^Fq $*$ b*h c+r `W4 q*qq h88 ( hF q %G:r .++++ q r,G, !%++ b*Y,88+r q I h6+* h*( . r %+%= c+h *C+++& * r,c,, r+ .+ h*W+*$N !:7 qq& r *T*q *3&F7++!*h U- q q %0,+h +Il,,,, V!$F 96$ D7c!!++9q w++ q q =+q +r' $T++++ OC$ #+++7 *Y+ +, Hrr*+ q q bj,,*,G r r a++qDfn:*q c98,r ` #J)( c_()(4>!#BL)),)% %+++:r $R( :88%)/. q!$*9q*9 c U q !%U,,,+ W[ ,H))) ,h * 9 - f ` T Gj,, c!=c \%d&77+ c#J))c&O))('J'!%c=(c-(@(c#=89)U r /+ r *!+*rr DlU,,,,f+ g&,*%UEr W,/,, +;G+, +l+r hU+UTN*& Cp/+r' VF*+FuCq!$7)+ $T+*, $T++ + + c,++ +C++ ,. $T++ %++ ,x, +88-E \* xxr q qq*9 ]2( Z8,+N,,F,, r fF +++++!)++* \$Fb)+):97+$T&#X \& '>H3W)=1211$XT *C q j) +;j r F9:*(/,,, r 98,, *:* .+* r + + Z* /U,,,8,+/88,,c, 9+ +G c !$T+* T++)+++ ,`,, F** jcOPj,@rk'%G)* ) G: *+ q (( ( * hq /+/$D F++*, U,++ W, jN< +\%q(C&* .$* %$&!&& q b++ Z,*gr , .+++ ?fp' r)U'!8U + $b+++ 1$!$;! %Q,, +88 %c,,U, .++ q-b(b&$8h !%+.1,+ Z,,,h,<RD=jE 88 /+ ,Z,,iU8,j bqq(**- qH+ P(9%` <hM+?*,&'!%=& + (2)) *777++Z*$9\=* Z,,,ip9+: +: r C Z*+Y++++ /+ $L +++++Fj% q+ r*,,k+r j8, ,, ++ %',,7, fr N2L*c& 5( rr' U) .++$! * _) 9N2+;+ ` P(22dc'c) `#`L)(6 U,,hG% [=* q q fj,,+j Cw .+ .+.7.+u$)))'VH))c +; ,/,, Vc $ ( X* \ %c,, C * C*q +; bF8++++$*,+; #T'$` ` + Y)H JJ ` #( )))^))c c#( ) a )]M[g))) 8T_O))))))kcr ( D,' %Rc &/,c q*+)%& *7j+,hc+*&1h%q*++9& r aT++)C+& ``'N <,,!jj+ rr cP<(< r E +88 %/,,,O))))[2)%$;$.(!h&*&% *777* ,]+:,, :,,,J %'*%<j R W!++ Y,,,r c$,, /+++q + si *8893+ :+jJ !/,,,9 %U,,+ #9))8) +/. q ]( cZ?8rJ f /,* !Dj,)D,r,8888, . r Ff++++ q q 4b,,s U,, r + + "l$FV $;*- q X %U,,+ ++)+) > c(3((_((22)) $`&S:%!!#1(F9()1) $4#&07_!#1(] (1)) w\ <+%/,8/-r + * & [P !#c C& w+w 97 e J' $*#; ( c $ * qC E,,D j8-%9' S: ` ]2 +CD!& * i q $!C % ?-%!9'- !!%8+Rc &-%' *,,=r [ !=' F* . q q :j,&&,,, V'3 + DM X !' +8,,!U % 2, 9f& +*8,, U9,` q F 7778 q+ q 777T //,* C5 )' )S: 111)) [2 ; !)#Ea+\* ;*$ (!H) F ( qq % _\ w+ ;) r%q U = EE%j r ; C C5 `e, %, Er &%cX %,;`& T q %+* * <U9 C5 >D< & ,rrr ,,,,, n V %!bb 8& x // h !!2#D ( $& C ;)%)' /E #(#D: (11) F<% *:* !$T+<qq ` 4#!=9 $#%H%) cEL+cc`E!!( ++DD2!!q77+ [2 #%a +i T+) * ):Q:#,)` (11) D+D // !C+7*m + ,// w++w +)V !%` %$.. 4[ ` c Eax,,, EE'!$C+q Q 4!$N *F F#,1(] )' =!* EX(2< 4%) 4)!< 85 ( f ?c= != w+www ))q$8& $+* // c`Y !FO C ]H1'!T7*s$V+V g W!#)!(N*`9 + J $4M [f C q$8%% ** %E9C< W!!; >: IE#Xb c)\ N*#2%[ #% ?-%9'&!+!p%C=W!Y CD= f2 ** !]2(` !/+G' ( WQ)79!5 ;$Z< *78+ %q C5(% f+)& Vc A;< $7+ q8* E6% 92) ++l CD%= ,88, N! !9)$ \e E` !< rD // !2)+(!%# rr2!r ?c%= ++ /E r l %BC %C)& +88 ^+/ $ *:* < Cb*j q*\ .$ + *U' * 9`(D q/, ++ +*)+)+ ** %+* !%j,+,rr+j%r V !!!h * +qt+ $* w !j` .* q 2+ )' Ea\e $ * %$)`3P( ' / + q!.++ +6 `!jD% :h7& C%) `:H)H` +88,xxx * +++ C+b&q*7777+ //% ZE= * *** ..$!.+ + j `+88.% C +X ,]D C& ( u>*).* 9QC5( ** * ( ?+q , * + $sV . .+/ r q + "6$ r W, T)8 r [2 !8+R,+ W 1 ,,**r ** + ;* +8+lr *q %&**(+i&5O +w+++ &*+)J< F $,, c *!!!h *** T+q + /+9+**++6( q .u aEr *r, !.)* $& C ;+,,`!DpU !,))#%, %q? .+++ $T) ;* T+)C%/,8+n+h8 +*,+ + )))222)) +!U* %= L$ V c hq& :+ $24(O(:Q%[('11) > )),i +<+%j`'r +88, &!3 C5 ( ?L%9' c%+%O 5 W V!;! * 0 KU &%%/U`%C#5H %Ec+ N r' + m]k %!%r/U%U*r+88, U, .+ ,, * / q+UD !$C+q *7777++ ):)9; !jhR , + q $&T $ fj $4 !J#c $([(VTS(F J# ( Z< ,,,,[ c C& #,)!#I +) +8888,, r [ 6A.< [33*7*N ++ ; o)(2(_ ( +;+ &?xx, h+w++ N %/,P%98*,&5%U,+j+<!rU' %/,9O !88,, <+,*D!!1F: D!%r &r,*l8<;!$T+q& q $W#! j$8& +f &r6 q7; k +88,, 9!`9 3Y C 0 # M *:*+&$q F MDK%= ,,,,xxr +$ T ij + j,+*(* &*r$'&U+ 8.E # '! b`A" 9(21F (* &/)18'' 9_)( C ,E*L *!/+ *(+V( !!c +) %! + q + !L+*(+*** xx %/,,,,,* # r !Th+!!b!b+!$q q !C &E!9' /&, +.+* !R $* \ #!] !# c C %' ` !j!!U, >5 <?f !c $T)7t! %! %2 -+,W!U U, ,! ! WH[#% U, *^,8,%! ..+ ^*`)++$2[[ r**= V#T %!Y \,,!* r + r /# ?l< *6 FT?ff ;4"#c r%D,,%6*p !8, c Y)2!' +:9 M C ?+e $U=* &q$YW ( #C) V% Y+! $]V ( ;)) ;% !+%6!',,%r !++ ,1C r W rr Gjh ?a ?9 7US9 c/h *:* 8- r '$(22 ; r W,,,c Z+ :%)1!)^ r,E,, Z,,* O d Y!)+..+. ?,g,,c, r 9& *87+rr&/U+ &rr+ r c, r*p Z8,,,! ][ 2= ` C +2 r 6,/ +888 MM 2r qhiq Y++qq$! %+jD$K$q q q VV7) ]2))W))4 w++w+ q$! $/+7;.+ D$&+ ^r Ce%c,++:+L)US)))$` O\f .++ q #V)())Vc c,!& r * o* \\ qT++ !$+,++ qq q q 1; X q ^*& !7+ r,", DLj-DD:/,,,, fj,,[+!!! %+h $q$!$N ,rr +98 k*+%,\e ,,,; rE :jy%r* ! : #! J !!+ %+//% r 1 +: y,,: 1*; q $C++ %%+ ",&+ qq q1 +:' r r %.. * d%c .* -rrh,,,8++j,*r + r!5*& VO))XT)$!2)c$;cXXV(R(+!222 2( (( $8W(4 1; q!!b $b+++$9 O& 2 ,,&>)d %++: +. q rU,,, $O))]253(4\h, * 9& + T$.**9 , ?,,J,Dj $7; q=++7*D)*9$ CXqq*9$ qq>q*9*$po& + r r $; q rU,,4r:%2++:' r j* H!* ,& + ,G $2 9**:7.4+++ !$T+++++ D+* ) + ',,, qq +* $+ %+9 f]+ .+. h& qT++r+ T; *77 8 q$ q q q q *77 F rj, 8- !! +88r , Cs7& q$! %q (%$.*T& 6 $$$$ 0 /c, 8))Y F * O)X('NS Cq Dj*W V .++- b++ *F++* *.** q$! Cq F U/,* r U]*:* &,ec!+ [3))Z% ,,>++< %q// 2/c] 5 re ' *$4 *! =!) cIcc V**)*$ )V q++F /+ q)+ F !T++++* C) 2., + r! !&-)*. \h, ?E<%G>, %$ #&"" $# o, !! *. * q !!!! q) r+* +)+) +,8 U)rcr Tc !T+++ q) )& $.. V . ++78++++ ($T+++++T++**7+ q $F .++9\7; +w+) %U,,,+ %U, *.++ *77++ q !* !$*) *\+ E,, J +++++ww ) /+ *!((" * [P)2!M %U,* 9; * q !! C w++++++ !U,,+ .; q =+,, D, r ff q !*, Z *:7 rD] ,* W/+ $N q E))$)* &, G++ O)))Y''$)W#Ic q!P$&V q r%G,++ * c"'Y - +F ( >D$&q W/+ q g hh- rI+j> c\ !+ j+D :? O))'`#2 ( c L))'?L')''!F(N4J d) .$* W/W Z,!*n *+.+ t N<! T+ Fq TT+) $; \b q TT) h* w++++ g* ff TF*77+ Ch) D q9 !; $77q F /+ &Z,!*9*( q J)*!*n' ,*U,, +j+ !%`,,Z,,,*: h+ E+ q c`U`' + b 8_' T E T/+ D+++++ *D+++(++F $* %U,+ $F ?,e j, V , +?,j, %99%,%'/ //,* //,* *::** q : U+) O)')'#c * $* !%!g ,* +_+ 4%+, A C\&,*= %.$$$/ .$ q %&" / `B 9N)') * )&,h,*n U,++ !* ! , E, +q W2% Ehc,DG8, ##! ** c,, :99+, !!f r/.J h;< ! f T hc j q+,B*,, h r [ i g9 @ W r= \ )++ ,E, r ( Z _V *D )++ G J! q 61 5)-*9 q ! \ ?> r / Y) +, U,,,,+ F 9 */ -/ f O) )) C ` \ f 7 Yj r q ? @)7 l,EI 9 + ( 9 Z C P - g+ q q \ D]fD C\$ */ U,,,,, fb:7D ) q h DM qq Z q E [4 _# )C 991(W)4 ) J+ *C % q [[ [ 3 * [ ,, r (Y; I&E r E% \ f$ Z q C ))))29 q _ q f S ,E' D) Y)_( r D q > + $4 W' ` \e F E+ l+<DI ( ! .%' \ [q\ +: +D+ !!$)++++ ) O' U,, C jq hf) [ *J +3! Bj+ ( *9 +f 12 h+fgj U' %U?[ !( +f ++ ( !f /+ -4 )i) q88 $7

Formatting page ...

Top Contributors
to this ResPaper
(answers/comments)


ISC 11th

(1)

ResPaper Admins

(1)

Formatting page ...

Formatting page ...

Formatting page ...

Formatting page ...

Formatting page ...

Formatting page ...

Formatting page ...

Formatting page ...

Formatting page ...

Formatting page ...

Formatting page ...

Formatting page ...

Formatting page ...

Formatting page ...

Formatting page ...

 

  Print intermediate debugging step

Show debugging info


 

Additional Info : ISC Class XI Notes : Mathematics (Trigonometric Functions)
Tags : ISC Board, Class 11th, Class 12th, NDA/NA Entrance Examination  

© 2010 - 2025 ResPaper. Terms of ServiceContact Us Advertise with us

 

prateekgurjar chat