наименьшее -√2
наибольшее √2
sina-sinb=2sin((a=b)/2)cos((a+b)/2)
sin(2a+9П/16)-sin(2a+П/16)=2sinП/4cos(2a+5П/16)=√2cos(2a+5П/16)
-1<=cos(2a+5П/16)<=1
-√2<=√2cos(2a+5П/16)<=√2
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наименьшее -√2
наибольшее √2
sina-sinb=2sin((a=b)/2)cos((a+b)/2)
sin(2a+9П/16)-sin(2a+П/16)=2sinП/4cos(2a+5П/16)=√2cos(2a+5П/16)
-1<=cos(2a+5П/16)<=1
-√2<=√2cos(2a+5П/16)<=√2