{VERSION 5 0 "IBM INTEL NT" "5.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 1 }{PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Heading 1" 0 3 1 {CSTYLE "" -1 -1 "" 1 18 0 0 0 0 0 1 0 0 0 0 0 0 0 1 }1 0 0 0 8 4 0 0 0 0 0 0 -1 0 }} {SECT 0 {EXCHG {PARA 3 "" 0 "" {TEXT -1 42 "Derivatives of the Trigono metric Functions" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "f:=x->tan(x);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "g:=proc(x) diff(f(x),x) end;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 5 "g(x);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "simplify(g(x)-sec(x)^2);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 48 "plot(\{f(x),g(x)\},x=-Pi..Pi,y=-2..2,thickness=2);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "f1:=x->sec(x);" }}}{EXCHG {PARA 0 " > " 0 "" {MPLTEXT 1 0 30 "g1:=proc(x) diff(f1(x),x) end;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 6 "g1(x);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 10 "Questions:" }}{PARA 0 "" 0 "" {TEXT -1 115 "(1) Use the p receding Maple syntax to find the derivatives for sin(x), cos(x), tan( x), csc(x), sec(x), and cot(x)." }}{PARA 0 "" 0 "" {TEXT -1 70 "(2) G raph six trigonometric and their respective derivative functions." }} {PARA 0 "" 0 "" {TEXT -1 87 "(3) Explain the relationship between the \+ original function and its derivative function." }}}}{MARK "10" 0 } {VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }