{VERSION 3 0 "IBM INTEL NT" "3.0" }
{USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 
1 0 0 0 0 }{CSTYLE "" -1 256 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }
{PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 
0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Maple Plot" 0 13 1 
{CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 0 0 -1 -1 -1 0 0 
0 0 0 0 -1 0 }{PSTYLE "Title" 0 18 1 {CSTYLE "" -1 -1 "" 1 18 0 0 0 0 
0 1 1 0 0 0 0 0 0 }3 0 0 -1 12 12 0 0 0 0 0 0 19 0 }}
{SECT 0 {EXCHG {PARA 18 "" 0 "" {TEXT -1 29 "Practice on Inverse Funct
ions" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 9 "Ex
ample: " }}{PARA 0 "" 0 "" {TEXT -1 55 "(1) Observe the graphs of the \+
following trig functions:" }}{PARA 0 "" 0 "" {TEXT -1 23 "sin(x), cos(
x), tan(x)." }}{PARA 0 "" 0 "" {TEXT -1 110 "(2) Do you think the func
tions sin(x) and cos(x) have inverse functions in the interval of [0, \+
2*Pi]? Explain." }}{PARA 0 "" 0 "" {TEXT -1 78 "(3) If the answer is n
egative for  (2), how should we restrict our domain (x)?" }}{PARA 0 ">
 " 0 "" {MPLTEXT 1 0 23 "plot(sin(x),x=0..2*Pi);" }}{PARA 13 "" 1 "" 
{GLPLOT2D 400 300 300 {PLOTDATA 2 "6%-%'CURVESG6$7en7$\"\"!F(7$$\"1^cC
&eb&p8!#;$\"19&o'z\"y_O\"F,7$$\"1qR*pd)>hDF,$\"1!y=V&*)GLDF,7$$\"1s[E^
dK,RF,$\"1]F<<.6.QF,7$$\"1c^NehL]_F,$\"1,*y(H4U7]F,7$$\"1*QhW&\\$Hf'F,
$\"1#pD*eceDhF,7$$\"1T11.fpPyF,$\"1?82*oU&fqF,7$$\"1qr'fwtl7*F,$\"1)*Q
jP!>8\"zF,7$$\"1%Ra&4L&f/\"!#:$\"1[%3w7ESl)F,7$$\"1jXwg<#)y6FP$\"1i.Z,
bcT#*F,7$$\"1qGW%H$\\:8FP$\"1OpSF\"oen*F,7$$\"1H22vMov8FP$\"1_*\\T'zD5
)*F,7$$\"1*e)pbO(eV\"FP$\"1'fI'ft64**F,7$$\"1]+3VNj.:FP$\"1:3MzUXx**F,
7$$\"16:YIMRr:FP$\"06Ot@)******FP7$$\"1'z]kaJ%R;FP$\"1y8:y_Xw**F,7$$\"
1#3SCmpuq\"FP$\"1<Nd#HZn!**F,7$$\"1u?N%*p.t<FP$\"1*pQ.m*='z*F,7$$\"1mS
EEVgQ=FP$\"12DafD`V'*F,7$$\"1`:%R;(od>FP$\"1CCb^l'3E*F,7$$\"1U(ye<)G*4
#FP$\"12*>c4&oN')F,7$$\"1a[#o!GC>AFP$\"1e*Rp1I-(zF,7$$\"1YwJf&y(eBFP$
\"1;s(f4sF0(F,7$$\"1OrpV8H#[#FP$\"13N4EukDhF,7$$\"1zY)QW/yh#FP$\"1Pawd
/k,]F,7$$\"1v)>8'\\%ou#FP$\"1#*R%R(HvXQF,7$$\"1%GCS?&[\")GFP$\"1&o6f)Q
%=d#F,7$$\"1%)='p(p70IFP$\"1h5Xo]Ug8F,7$$\"1B%)\\K8\\QJFP$\"1*pb)>hJ,J
!#=7$$\"1'fJlT>qF$FP$!1XT0(yJ,N\"F,7$$\"1l2\"4_3wR$FP$!1#*=GeHGKDF,7$$
\"1OnGd![y_$FP$!1*)zsmMAnPF,7$$\"1>4JU#)RiOFP$!1,J!)=3zv\\F,7$$\"18!f%
[$HSz$FP$!111$[?W72'F,7$$\"1oE+7#*Q@RFP$!1K4p_xMJqF,7$$\"1)f0ii+G1%FP$
!1WqZN&GL'zF,7$$\"1fORr]')*=%FP$!1*3&3nLil')F,7$$\"1&p%*z[LbK%FP$!1$[$
Q0***4E*F,7$$\"1'pExBp%[WFP$!1%4g7n[Pl*F,7$$\"1z&[2')pc^%FP$!1-Py@682)
*F,7$$\"1i/x$[qGe%FP$!1YPY!)>C;**F,7$$\"1Rq'H.,hk%FP$!1ef(ReP!y**F,7$$
\"1<O;#eJ$4ZFP$!1'*phhK&*****F,7$$\"1V'G^sDax%FP$!11%\\AUQ,)**F,7$$\"1
pO4o)>:%[FP$!1^6Oe=u;**F,7$$\"1@9vt*Qh!\\FP$!1K)*)[7\"*G\")*F,7$$\"1u
\"4%z!e2(\\FP$!1$49llz!o'*F,7$$\"1eC[4&eg5&FP$!1`&yQBx]B*F,7$$\"1!f![/
*ojB&FP$!1#*oMmwMe')F,7$$\"1dN^/,jp`FP$!1soqht!o\"zF,7$$\"1A\"GX$yy,bF
P$!16TwV@sUqF,7$$\"1L1/jqABcFP$!1l4LY'Q38'F,7$$\"1xeKB,TidFP$!1DF-zq_v
\\F,7$$\"12$e;6(*o)eFP$!1*y_Bpo*fQF,7$$\"1Lcu0ii>gFP$!1DhVjR=0EF,7$$\"
1**zj%)[mYhFP$!1'*=#eVn4O\"F,7$$\"1++i%H&=$G'FP$!1UE[]'efD\"!#B-%'COLO
URG6&%$RGBG$\"#5!\"\"F(F(-%+AXESLABELSG6$Q\"x6\"%!G-%%VIEWG6$;F($\"+3`
=$G'!\"*%(DEFAULTG" 1 2 0 1 0 2 9 1 4 2 1.000000 45.000000 45.000000 
0 }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 23 "plot(cos(x),x=0..2*Pi);" }}{PARA 13 "" 1 "" 
{GLPLOT2D 400 300 300 {PLOTDATA 2 "6%-%'CURVESG6$7en7$\"\"!$\"\"\"F(7$
$\"1`#Gi#zxZo!#<$\"1wUCHJcw**!#;7$$\"1^cC&eb&p8F1$\"1q#fVPij!**F17$$\"
16)>63x`'>F1$\"1vHGMb[2)*F17$$\"1qR*pd)>hDF1$\"1#y/-5-Qn*F17$$\"1s[E^d
K,RF1$\"1,1-#['e[#*F17$$\"1c^NehL]_F1$\"1D5SC42`')F17$$\"1*QhW&\\$Hf'F
1$\"1Q^ZT?D/zF17$$\"1T11.fpPyF1$\"1_>U!=uD3(F17$$\"1qr'fwtl7*F1$\"1f\\
phdX;hF17$$\"1%Ra&4L&f/\"!#:$\"1yHev:x5]F17$$\"1jXwg<#)y6Fgn$\"1g)pymR
,#QF17$$\"1qGW%H$\\:8Fgn$\"1.oK.jQDDF17$$\"1*e)pbO(eV\"Fgn$\"1lS\"H&o8
X8F17$$\"16:YIMRr:Fgn$!19NL6j.rf!#>7$$\"1#3SCmpuq\"Fgn$!1@,ABB[i8F17$$
\"1mSEEVgQ=Fgn$!1x)*f7@=YEF17$$\"1`:%R;(od>Fgn$!1CpX#*)3Jx$F17$$\"1U(y
e<)G*4#Fgn$!1it,N_JU]F17$$\"1a[#o!GC>AFgn$!1_)*oQ%*[RgF17$$\"1YwJf&y(e
BFgn$!1]\"Q8J;$*3(F17$$\"1OrpV8H#[#Fgn$!1tA<tT?/zF17$$\"1zY)QW/yh#Fgn$
!1_\"G>r1$f')F17$$\"1v)>8'\\%ou#Fgn$!1`6k]i$4B*F17$$\"1%GCS?&[\")GFgn$
!13Gi$\\BOm*F17$$\"1%3$\\!41L%HFgn$!1D)eOYbS!)*F17$$\"1%)='p(p70IFgn$!
1w5r5+.2**F17$$\"1a,ta\"4=2$Fgn$!1QR!e>hc(**F17$$\"1B%)\\K8\\QJFgn$!1(
)f24>&*****F17$$\"14]^u`v2KFgn$!1s?.b/7y**F17$$\"1'fJlT>qF$Fgn$!1)zW\"
G!Q%3**F17$$\"1\"=@(oRJPLFgn$!1.t5wk24)*F17$$\"1l2\"4_3wR$Fgn$!1&3vb[l
Sn*F17$$\"1OnGd![y_$Fgn$!1EXLTAEj#*F17$$\"1>4JU#)RiOFgn$!1CZ!4<'=u')F1
7$$\"18!f%[$HSz$Fgn$!1)oJ.#y1YzF17$$\"1oE+7#*Q@RFgn$!1(42e*fc5rF17$$\"
1)f0ii+G1%Fgn$!1:U,*\\'e[gF17$$\"1fORr]')*=%Fgn$!1:9d&\\)o!*\\F17$$\"1
&p%*z[LbK%Fgn$!1ka-n:ysPF17$$\"1'pExBp%[WFgn$!1'GUFnl'3EF17$$\"1i/x$[q
Ge%Fgn$!14d,soc\"H\"F17$$\"1<O;#eJ$4ZFgn$!1e,\"yX$RdI!#=7$$\"1pO4o)>:%
[Fgn$\"1!z!R^Js(G\"F17$$\"1u\"4%z!e2(\\Fgn$\"1CaOV7/bDF17$$\"1eC[4&eg5
&Fgn$\"1n>9&G)zNQF17$$\"1!f![/*ojB&Fgn$\"12+bz/I.]F17$$\"1dN^/,jp`Fgn$
\"1-G'*3.N4hF17$$\"1A\"GX$yy,bFgn$\"1O\\&RI+$*4(F17$$\"1L1/jqABcFgn$\"
1ytI?$y,!zF17$$\"1xeKB,TidFgn$\"1%Qb^XPVn)F17$$\"12$e;6(*o)eFgn$\"1co#
[!4+D#*F17$$\"1Lcu0ii>gFgn$\"1fw#e$))oa'*F17$$\"1:=>Xb9$3'Fgn$\"1>**yv
ne+)*F17$$\"1**zj%)[mYhFgn$\"1'\\^\"=b&p!**F17$$\"1***G'*3D\\@'Fgn$\"1
jT:e<rw**F17$$\"1++i%H&=$G'Fgn$\"1+++++++5Fgn-%'COLOURG6&%$RGBG$\"#5!
\"\"F(F(-%+AXESLABELSG6$Q\"x6\"%!G-%%VIEWG6$;F($\"+3`=$G'!\"*%(DEFAULT
G" 1 2 0 1 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 }}}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 31 "plot(tan(x),x=0..Pi,y=-10..10);" }}
{PARA 13 "" 1 "" {GLPLOT2D 400 300 300 {PLOTDATA 2 "6%-%'CURVESG6$7ao7
$\"\"!F(7$$\"1fD2LzxZo!#<$\"1N$Haf,&eoF,7$$\"1Npx*G*f!G\"!#;$\"16x)p%e
k(G\"F27$$\"15@exGm]>F2$\"1m-G1oyv>F27$$\"199!=3o^i#F2$\"1&)G^#p#=(o#F
27$$\"1!\\D0[nkH$F2$\"1x')Q'=-8U$F27$$\"1\"=Za&z%)=RF2$\"1Fxa#)))fKTF2
7$$\"1eXa()oGjXF2$\"1:\"edWX)3\\F27$$\"1%3**Hbm(H_F2$\"10=$=t5_w&F27$$
\"1PRr4)3T*eF2$\"1d],\"eFqo'F27$$\"1#[)yykYxlF2$\"1j%z_w0]s(F27$$\"1s'
ocGo$zrF2$\"15sVfACM()F27$$\"1Q0;gr'p&yF2$\"1Kbd$G(f+5!#:7$$\"1GMt?$[t
`)F2$\"1-4q&zVp9\"Fao7$$\"1#p30k@I>*F2$\"1/d8tSO68Fao7$$\"1S7\\HeV)y*F
2$\"1D6d(fPs[\"Fao7$$\"1$[))*)3W'\\5Fao$\"1(f*)Riy=u\"Fao7$$\"1'[@XS@'
46Fao$\"1OQv/\\U7?Fao7$$\"19w$3G*Qz6Fao$\"1T_8XP1BCFao7$$\"1%3*3tc9T7F
ao$\"1Y*4yVEG#HFao7$$\"1y0DBA!*38Fao$\"1J()HrtjIPFao7$$\"1kE.#[AMP\"Fa
o$\"1Vke`Yc+]Fao7$$\"1a@X.EuS9Fao$\"10zn1*Hdk(Fao7$$\"1\\urYIlr9Fao$\"
1+.u'GM`+\"!#97$$\"1WF)**[jD]\"Fao$\"1Aao&)[Hj9Fir7$$\"1t9WMSB>:Fao$\"
1Ait,FoP>Fir7$$\"1--!*yX!f`\"Fao$\"1CjkFS%['GFir7$$\"1n&H6&)RUa\"Fao$
\"1?V9[YnkPFir7$$\"1K*eL7vDb\"Fao$\"1Q^+EV]([&Fir7$$\"19OZfFuc:Fao$\"1
BK(>fi^6(Fir7$$\"1(H)e&R54c\"Fao$\"1S5FWb]65!#87$$\"1Qck8U*Hc\"Fao$\"1
\"fN+/y;G\"F]u7$$\"1zHqJ!y]c\"Fao$\"1:j*z#Rv[<F]u7$$\"1?.w\\=;n:Fao$\"
1[wEo`T^FF]u7$$\"1hw\"ymX#p:Fao$\"1N)z'=g')[kF]u7$$\"1VG8p,Tr:Fao$!1+Z
3/E3H;!#77$$\"1D![/nuNd\"Fao$!1'zkP^d#*f$F]u7$$\"11Kwr\"Rdd\"Fao$!1vb=
%*)4J-#F]u7$$\"1)QyIn.zd\"Fao$!1<w]77(pS\"F]u7$$\"1^(3dnKAe\"Fao$!1A'G
u>oOu)Fir7$$\"1:\"R$y;c'e\"Fao$!1Gkuv#)\\UjFir7$$\"1U)*f$o>_f\"Fao$!1>
\\^Bri$4%Fir7$$\"1p0'))oxQg\"Fao$!1MM$*[tu@IFir7$$\"1B?Q*p$>@;Fao$!1lP
^F-b#)>Fir7$$\"1xM!*4(4&Q;Fao$!1J$*GJ^bu9Fir7$$\"1,%Gg)plo;Fao$!1g(*Q%
)pf=5Fir7$$\"1DL:iU!))p\"Fao$!1(***[(p*HpxFao7$$\"1)R1/.CRw\"Fao$!1;8A
%\\%Q8^Fao7$$\"1Id)H7*>J=Fao$!1b</g'3Iv$Fao7$$\"1fb7wY,(*=Fao$!1sOnwE
\"f&HFao7$$\"1N5'zg%pg>Fao$!1;DGu)oMV#Fao7$$\"1pJ8:.SJ?Fao$!1C@]a8J:?F
ao7$$\"1+2zPD$\\4#Fao$!1C8.lI!*H<Fao7$$\"1=!fhumF;#Fao$!13h\\F3=([\"Fa
o7$$\"1bk3@YBCAFao$!1[W*[5!418Fao7$$\"1/b<W_V\"H#Fao$!1H^ueTpQ6Fao7$$
\"1!GNMzlYN#Fao$!11k)o2iI+\"Fao7$$\"1njYO*f2U#Fao$!1&pJ?gAay)F27$$\"11
()=U!z`[#Fao$!1ss0Keb+xF27$$\"1kHHd#HIb#Fao$!1)\\on.qZn'F27$$\"1_r&[X%
==EFao$!1ssaY>'4x&F27$$\"1K-%\\0:[o#Fao$!1Y-_+vT9\\F27$$\"1gN,?R*3v#Fa
o$!1!yZ%e%>(=TF27$$\"1/0LMNh6GFao$!1m4fr`,DMF27$$\"1$oUX107)GFao$!1$oC
G-mVm#F27$$\"146xe&[M%HFao$!1+!Q2$fy2?F27$$\"1.6)e58)4IFao$!1z_%G0xaK
\"F27$$\"1t2RXCLtIFao$!1XxrkCkOoF,7$$\"1++X]EfTJFao$!1bwpOMzRJ!#C-%'CO
LOURG6&%$RGBG$\"#5!\"\"F(F(-%+AXESLABELSG6$Q\"x6\"Q\"yFial-%%VIEWG6$;F
($\"+aEfTJ!\"*;$!#5F($FcalF(" 1 2 0 1 0 2 9 1 4 2 1.000000 45.000000 
45.000000 0 }}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 49 "plot(\{sin(x
),arcsin(x),x\},x=0..Pi/2,thickness=2);" }}{PARA 13 "" 1 "" {GLPLOT2D 
400 300 300 {PLOTDATA 2 "6(-%'CURVESG6$7S7$\"\"!F(7$$\"1GK5j*))QU$!#<F
*7$$\"1XXYUk*HS'F,F.7$$\"1N68yVJ`(*F,F17$$\"16YeRSe78!#;F47$$\"1,,hQPB
[;F6F87$$\"1B*ed(RUf>F6F;7$$\"1IX[TMk\"G#F6F>7$$\"1hw(QF$)[h#F6FA7$$\"
1G?!>Saq%HF6FD7$$\"12n4OKt)G$F6FG7$$\"1Y]BRTo*e$F6FJ7$$\"1t79wN[GRF6FM
7$$\"1<m3cTnoUF6FP7$$\"1Nbk:3^'f%F6FS7$$\"10$Q)4z@%*[F6FV7$$\"1\\,oR/A
[_F6FY7$$\"1wW/<q5[bF6Ffn7$$\"1X`F)RYp*eF6Fin7$$\"1'3B#f$Gd?'F6F\\o7$$
\"1n3p46^WlF6F_o7$$\"1IyF.C6noF6Fbo7$$\"1!yP+,8P?(F6Feo7$$\"1(z!QUu\"G
^(F6Fho7$$\"1\"3@7LGi%yF6F[p7$$\"16HIT&[D>)F6F^p7$$\"1w)\\AI@S\\)F6Fap
7$$\"1o()=V,i>))F6Fdp7$$\"1`\"[dg&*f:*F6Fgp7$$\"1Tt6rL2&[*F6Fjp7$$\"1l
a(*HIZ.)*F6F]q7$$\"1m\"[l:+d,\"!#:F`q7$$\"1\"3XyEmu/\"FbqFdq7$$\"1K_*>
P$Q\"3\"FbqFgq7$$\"1M\"G%4t676FbqFjq7$$\"1p*Q4i<d9\"FbqF]r7$$\"1cr`&*G
Lx6FbqF`r7$$\"1k&>q'*z.@\"FbqFcr7$$\"1Q$[)>&*oU7FbqFfr7$$\"1^lOFY^w7Fb
qFir7$$\"1\")f6EA448FbqF\\s7$$\"1;T7EvSU8FbqF_s7$$\"1`wiepWv8FbqFbs7$$
\"1$obdw1eS\"FbqFes7$$\"1%)o#3`-1W\"FbqFhs7$$\"1#*)4zFC<Z\"FbqF[t7$$\"
1=;V^l!\\]\"FbqF^t7$$\"13Y:@imO:FbqFat7$$\"1++lBjzq:FbqFdt-%'COLOURG6&
%$RGBG$\"#5!\"\"F(F(-F$6$7SF'7$F*$\"1sLeI+ABMF,7$F.$\"1DS+L@i)R'F,7$F1
$\"1c&ehJeyt*F,7$F4$\"1&Q%f]#=)38F67$F8$\"1-yj65yS;F67$F;$\"1**)ys&)4p
%>F67$F>$\"13RBS#)*=E#F67$FA$\"1M*4Ir&=&e#F67$FD$\"17dd?+e/HF67$FG$\"1
1jx$Rp(HKF67$FJ$\"1L>uye38NF67$FM$\"13zj5M@GQF67$FP$\"1$oQx\\8-9%F67$F
S$\"1OK72VNOWF67$FV$\"1(>VrOc6q%F67$FY$\"1MGBr+f5]F67$Ffn$\"1xKegS#yE&
F67$Fin$\"1Fv)ygs5c&F67$F\\o$\"1>X(*RG,:eF67$F_o$\"1g0zi&Qs3'F67$Fbo$
\"1,)=j,t*RjF67$Feo$\"1z3MFxj'f'F67$Fho$\"1N,Py.wDoF67$F[p$\"1n47uKelq
F67$F^p$\"1(RvZssjI(F67$Fap$\"1>#p\"po&)3vF67$Fdp$\"1\"zeG%\\()>xF67$F
gp$\"1()\\)y]!GHzF67$Fjp$\"1'H%*=Uja7)F67$F]q$\"1\"R7+w2pI)F67$F`q$\"1
?Zs+w\\)\\)F67$Fdq$\"1h!)R3tfh')F67$Fgq$\"1ZPF_)*3E))F67$Fjq$\"1X#3Hj
\"Qm*)F67$F]r$\"1vDs!yi+6*F67$F`r$\"1h#yueneB*F67$Fcr$\"1(Q,up+vN*F67$
Ffr$\"1Z!)zP7am%*F67$Fir$\"1w%)pSt5q&*F67$F\\s$\"1KPDS[]f'*F67$F_s$\"1
\"='y#[C.u*F67$Fbs$\"1nM>Q\"*z4)*F67$Fes$\"1TC;*p+U')*F67$Fhs$\"1[!3__
n`\"**F67$F[t$\"1jN*Rxj4&**F67$F^t$\"1yL$)R0Iy**F67$Fat$\"1g9![CwT***F
67$Fdt$\"\"\"F(-Fgt6&FitF(FjtF(-F$6$7BF'7$$\"1+++k*))QU$F,$\"1XS)))GeX
U$F,7$$\"1+++Xk*HS'F,$\"1,n%HuztS'F,7$$\"1+++\"Q9Lv*F,$\"17V5oV%)o(*F,
7$$\"1+++SSe78F6$\"1a8!))f#Q;8F67$$\"1+++RPB[;F6$\"1n&RLL*yb;F67$$\"1+
++wRUf>F6$\"1gcoZQ=s>F67$$\"1+++UMk\"G#F6$\"194%px=>I#F67$$\"1+++vK)[h
#F6$\"1oCz'fQck#F67$$\"1+++.W0ZHF6$\"1?%QPas9*HF67$$\"1+++PKt)G$F6$\"1
13DmG5^LF67$$\"1+++STo*e$F6$\"1J%p(oSirOF67$$\"1+++xN[GRF6$\"1nB@y#ps.
%F67$$\"1+++dTnoUF6$\"1Q.u\"*)e-T%F67$$\"1+++<3^'f%F6$\"16v/mF-wZF67$$
\"1+++6z@%*[F6$\"16bc<eE9^F67$$\"1+++T/A[_F6$\"1'**z#y.1DbF67$$\"1+++>
q5[bF6$\"1sH?2UN\")eF67$$\"1++++k%p*eF6$\"1HN+Hp!oI'F67$$\"1+++h$Gd?'F
6$\"1L!Q&=,t%p'F67$$\"1+++76^WlF6$\"146%)*[kX8(F67$$\"1+++1C6noF6$\"1U
8\"\\`^&pvF67$$\"1+++7Ir.sF6$\"1R:vO]PV!)F67$$\"1+++Xu\"G^(F6$\"1u0(QH
?+])F67$$\"1,++M$Gi%yF6$\"1_;#HLv3-*F67$$\"1+++W&[D>)F6$\"1SO/bN5,'*F6
7$$\"1+++08-%\\)F6$\"1+,m&Q^[,\"Fbq7$$\"1+++Y,i>))F6$\"1X$Gu#*3+3\"Fbq
7$$\"1,++4c*f:*F6$\"1Uqe/l*p:\"Fbq7$$\"1+++uL2&[*F6$\"1]Sf*z*[[7Fbq7$$
\"1+++LIZ.)*F6$\"1N)eaJ9AP\"Fbq7$%%FAILGF\\hl-Fgt6&FitFjtFjtF(-%+AXESL
ABELSG6$Q\"x6\"%!G-%*THICKNESSG6#\"\"#-%%VIEWG6$;F($\"+Fjzq:!\"*%(DEFA
ULTG" 1 2 0 1 2 2 9 1 4 2 1.000000 45.000000 45.000000 0 }}}}{EXCHG 
{PARA 0 "" 0 "" {TEXT 256 9 "Exercise:" }{TEXT -1 55 " Given the graph
 of  f(x) = cos (x) for  x in [0,Pi/2]." }}{PARA 0 "" 0 "" {TEXT -1 
130 "(1) Graph the inverse of cos(x) together with cos(x) by modify th
e Maple command given above. [The inverse of cos(x) is arccos(x)]" }}
{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 
0 23 "plot(cos(x),x=0..Pi/2);" }}{PARA 13 "" 1 "" {GLPLOT2D 400 300 
300 {PLOTDATA 2 "6%-%'CURVESG6$7S7$\"\"!$\"\"\"F(7$$\"1GK5j*))QU$!#<$
\"1EIyk!RT***!#;7$$\"1XXYUk*HS'F.$\"1j$H4#y]z**F17$$\"1N68yVJ`(*F.$\"1
PWDATZ_**F17$$\"16YeRSe78F1$\"1>nIl(zR\"**F17$$\"1,,hQPB[;F1$\"1`p97NZ
k)*F17$$\"1B*ed(RUf>F1$\"1G6B)GY'3)*F17$$\"1IX[TMk\"G#F1$\"10*pfUK3u*F
17$$\"1hw(QF$)[h#F1$\"1%3c\"zG1g'*F17$$\"1G?!>Saq%HF1$\"1$Hg3Tx)o&*F17
$$\"12n4OKt)G$F1$\"1X#yiMoSY*F17$$\"1Y]BRTo*e$F1$\"1o4Josfi$*F17$$\"1t
79wN[GRF1$\"15G)z'RAQ#*F17$$\"1<m3cTnoUF1$\"1*pDjqrE5*F17$$\"1Nbk:3^'f
%F1$\"1OucYM2i*)F17$$\"10$Q)4z@%*[F1$\"1e[L7$[g#))F17$$\"1\\,oR/A[_F1$
\"17F)z@JTl)F17$$\"1wW/<q5[bF1$\"1p@5X<++&)F17$$\"1X`F)RYp*eF1$\"1,(\\
&3`56$)F17$$\"1'3B#f$Gd?'F1$\"1v@N`[XN\")F17$$\"1n3p46^WlF1$\"1g?Z%p@Q
$zF17$$\"1IyF.C6noF1$\"13`m\"e_Lt(F17$$\"1!yP+,8P?(F1$\"1hIKr%3c^(F17$
$\"1(z!QUu\"G^(F1$\"1dzD:e93tF17$$\"1\"3@7LGi%yF1$\"1_%H*)4[l2(F17$$\"
16HIT&[D>)F1$\"1AKL\"Gew#oF17$$\"1w)\\AI@S\\)F1$\"1H5]d>K/mF17$$\"1o()
=V,i>))F1$\"1p$f4=xjN'F17$$\"1`\"[dg&*f:*F1$\"18<zlF:$4'F17$$\"1Tt6rL2
&[*F1$\"1kbUhf'*GeF17$$\"1la(*HIZ.)*F1$\"1\\$>&*yStc&F17$$\"1m\"[l:+d,
\"!#:$\"1zV,H.Dq_F17$$\"1\"3XyEmu/\"F`u$\"1cj1lEn(*\\F17$$\"1K_*>P$Q\"
3\"F`u$\"1F8Py$y5q%F17$$\"1M\"G%4t676F`u$\"1g[y,0kFWF17$$\"1p*Q4i<d9\"
F`u$\"1z_\\X[#R7%F17$$\"1cr`&*GLx6F`u$\"1](>U([*Q$QF17$$\"1k&>q'*z.@\"
F`u$\"18u?D(Qm_$F17$$\"1Q$[)>&*oU7F`u$\"1OldzS^AKF17$$\"1^lOFY^w7F`u$
\"1O^_O]_+HF17$$\"1\")f6EA448F`u$\"1FKPO+F(e#F17$$\"1;T7EvSU8F`u$\"1:%
3md%3kAF17$$\"1`wiepWv8F`u$\"1+Nc*p#4T>F17$$\"1$obdw1eS\"F`u$\"14+*zL?
Ck\"F17$$\"1%)o#3`-1W\"F`u$\"1C?\")3IE)H\"F17$$\"1#*)4zFC<Z\"F`u$\"1\"
[!=de+\"*)*F.7$$\"1=;V^l!\\]\"F`u$\"1\")3+Q4@%e'F.7$$\"13Y:@imO:F`u$\"
10X.()zM7MF.7$$\"1++lBjzq:F`u$\"12.iEm*[9$!#C-%'COLOURG6&%$RGBG$\"#5!
\"\"F(F(-%+AXESLABELSG6$Q\"x6\"%!G-%%VIEWG6$;F($\"+Fjzq:!\"*%(DEFAULTG
" 1 2 0 1 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 }}}}{EXCHG {PARA 
0 "" 0 "" {TEXT -1 60 "(2) Lable the graphs for  cos(x) and the invers
e of  cos(x)." }}}}{MARK "4 0 1" 1 }{VIEWOPTS 1 1 0 1 1 1803 }