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warboy500
@warboy500
July 2022
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ПОМОГИТЕ ССРОЧНО
найти sina+2cosa если tg a/2=-2
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Anasddarasi
Tga=2tg(a/2)/(1-tg²(a/2))=2*(-2)/(1-4)=-4/-3=4/3
cos²a=1;(1+tg²a)=1:(1+16/9)=1:25/9=9/25⇒cosa=-3/5 или cosa=3/5
B)cosa=-3/5⇒sina=√1-9/25=√16/25=4/5
sina+2cosa=4/5-2*3/5=4/5-6/5=-2/5
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Anasddarasi
A)cosa=3/5⇒sina=-√1-9/25=-√16/25=-4/5
sina+2cosa=-4/5+2*3/5=-4/5+6/5=2/5
warboy500
варианты ответа
warboy500
1) 1/2
warboy500
2) -1/2
warboy500
3) -2
warboy500
4) 4/5
warboy500
5) -4/5
Anasddarasi
5 или 4
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Answers & Comments
cos²a=1;(1+tg²a)=1:(1+16/9)=1:25/9=9/25⇒cosa=-3/5 или cosa=3/5
B)cosa=-3/5⇒sina=√1-9/25=√16/25=4/5
sina+2cosa=4/5-2*3/5=4/5-6/5=-2/5
sina+2cosa=-4/5+2*3/5=-4/5+6/5=2/5