{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 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }} {SECT 0 {EXCHG {PARA 0 "" 0 "" {TEXT -1 36 "Practices on Trigonometric Functions" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 144 "Exercise 1: If f(x) = tan (x). (i) Solve tan(x) = -1/sq rt(3) algebraically by hand. (ii) Use the graph of y = f(x) to solve t an(x) = -1/sqrt(3)" }}{PARA 0 "" 0 "" {TEXT -1 14 "Solution: (ii)" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "f:=x->tan(x);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 35 "plot(f(x),x=-2*Pi..2*Pi,y=-10..10); " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 11 "f(Pi-Pi/6);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "f(2*Pi-Pi/6);" }}}{EXCHG {PARA 0 " " 0 "" {TEXT -1 151 "Exercise 2. page 171, #74. If y1 = sin(x) and \+ y2 = sqrt(3)/2. Then (i) solve y1 = y2 by hand, (ii) use the graphs of y1 and y2 to solve y1=y2. " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 47 "plot(\{sin(x),sqrt(3)/2\},x=-2*Pi..2*Pi,y=-1..1);" }} }{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "sin(Pi/3);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "sin(Pi-Pi/3);" }}}{EXCHG {PARA 0 " " 0 "" {TEXT -1 80 "Exercise: What are two intersections for y1=y2 ab ove when x is in [-2*Pi, 0]?" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 " " }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}}}{MARK "6 0 0" 96 } {VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }