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Ksyushenka1318
@Ksyushenka1318
July 2022
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Номер 54 и 56(7,8)
Помогите!!!
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Prestoles12
№ 54
1)
cos(-П)*sin (-П/2)*sin(-3П/2)= cos П* (-sin П/2)* (-sin 3П/2)= -1*(-√2/2)*√2/2=1/2
2)
2cos (-П)*cos(-2 П)*sin (-3П/2)=2cos П*cos 2П*(-sin 3П/2)=-2*1*√2/2= -√2
3)
sin (-П)+cos (-П)+ tg(-П)= -sin П+cos П -tg П=0-1-0=-1
№ 56 (7,8)
7)
sin(-П/6)-2tg(-П/4)+cos(-П/3)-ctg(-П/2)= -sin П/6+2tg П/4+cos П/3+ ctg П/2= -1/2+2+1/2+0=2
8)
cos³(-П/3)-ctg³(-П/6)+sin³(-П/6)= cos³ П/3+сtg³ П/6 - sin³ П/6= 1/8+3√3-1/8=3√3
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Answers & Comments
1) cos(-П)*sin (-П/2)*sin(-3П/2)= cos П* (-sin П/2)* (-sin 3П/2)= -1*(-√2/2)*√2/2=1/2
2) 2cos (-П)*cos(-2 П)*sin (-3П/2)=2cos П*cos 2П*(-sin 3П/2)=-2*1*√2/2= -√2
3) sin (-П)+cos (-П)+ tg(-П)= -sin П+cos П -tg П=0-1-0=-1
№ 56 (7,8)
7) sin(-П/6)-2tg(-П/4)+cos(-П/3)-ctg(-П/2)= -sin П/6+2tg П/4+cos П/3+ ctg П/2= -1/2+2+1/2+0=2
8) cos³(-П/3)-ctg³(-П/6)+sin³(-П/6)= cos³ П/3+сtg³ П/6 - sin³ П/6= 1/8+3√3-1/8=3√3