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sin80¡ã+sin40¡ã=?
sin80¡ã+sin40¡ã=?sin80¡ã+sin40¡ã =2*sin(80¡ã+40¡ã)/2*cos(80¡ã+40¡ã)/2 =¡Ì3*cos20¡ã =¡Ì3*x ÆäÖÐxÊÇ·½³Ì8x-6x-1=...
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=(¡Ì2/128)(sin20¡ãcos20¡ãcos40¡ã/cos10¡ã)=(¡Ì2/256)(sin40¡ãcos40¡ã/cos10¡ã)=(¡Ì2/512)(sin80¡ã/cos10¡ã)=¡Ì2/512 ...
Ϊʲôsin80¡ã - sin20¡ã=2cos50¡ãsin30¡ã=sin40¡ã - sin...
sin80-sin20=sin(50+30)-sin(50-30)=sin50cos30+cos50sin30-sin50cos30+cos50sin30=cos50sin302cos50sin30=sin40-sin20ÕâÊÇ´íµÄÒòΪ×ó±ß=2cos50*1/2=cos50=...
»¯¼òÇóÖµ:sin20¡ã + sin40¡ã - sin80¡ãÈçºÎÇóÖµ?¹«Ê¾...
sin20+sin40-sin80=sin(30-10)+sin(30+10)-cos10=sin30cos10-cos30sin10+sin30cos10+cos30sin10-cos10=cos10-cos10=0