; TeX output 1996.02.23:0911#%W"V cmbx1018.01GPR9OBLEMSET1 (EHandTintoRoQom2-108b9y1:00pmW ednesday,TFebruary14.!9I9Zffƶ ffD Ǎ!p0J cmsl10The3duedateandtimeareabsolute.i`Latehomeworksareaccepted untilUUthesolutionsarepGosted,butthescorewillbemultipliedbyK`y cmr101 b> cmmi10=2.EverythingMincludedheremaybGeusedlater.Y*oudonotneedtomemorizeUUtheproGofs,butyouneedtoknowthefacts.ffDD9ZffM􍍑 11.9G.10/1,UU4,5,6.q34/4,14,20,32,43,48. Fd(10UUpGoints) 12.9UseUUthefollowingformula:W(a8+b)ٓRcmr75C=a5S+5a4|sb+10a3b2S+10a2b3S+5ab4+b5|s;9toUUprovethat ;K(158+=V !", cmsy10p 7=Vfeª220:)5S+(15=Vp 7=Vfeª220)59is9*aninteger,>divisibleby10.hcWhatisthelastdigitprecedingthedecimalpGoint A9inUUthedecimalexpressionof(158+Pp 7PfeE220:)^5|s?Kd(3UUpGoints) 13.9UsingthenotationofthepicturebGelowprovethatt=tan㊱]ګands=secGG.\Find9similarjstatementsforcotjūandcscꥱG.(Thisexerciseshowsthenames'tangent'9andUU'secantcomefrom.)Kd(3UUpGoints)ϟ 14.9UsingUUtheabGoveUUpictureproveUUthatsinG5< cmmi10ٓRcmr7|{Ycmr8K`y cmr10 L