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hisamievaa
@hisamievaa
July 2022
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Ребята,решите плиииз тригонометрическое уравнение
2tg^2x+3 tgx=0
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kirichekov
Verified answer
2*tg²x+3*tgx=0
tgx*(2tgx+3)=0
2tgx=0 или tgx+3=0
1. tgx=0, x=πn, n∈Z
2. tgx=-3, x=arctg(-3)+πn, n∈Z
ответ:
x₁=πn, n∈Z
x₂=-arctg3+πn, n∈Z
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Answers & Comments
Verified answer
2*tg²x+3*tgx=0tgx*(2tgx+3)=0
2tgx=0 или tgx+3=0
1. tgx=0, x=πn, n∈Z
2. tgx=-3, x=arctg(-3)+πn, n∈Z
ответ: x₁=πn, n∈Z
x₂=-arctg3+πn, n∈Z