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vyavtushenko
@vyavtushenko
July 2022
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ДАЮ 20 БАЛЛОВ! Помогите с тригонометрией пожалуйста!!!! СРОЧНО!
1. tgx>-1
2. 2cos-√2⩽0
3. 2sin2x+√2≥0
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saqvap
Сначала все приравниваем
1. tgх=-1
х = -1 / tg
или: х = -ctg .
3. 2sin2x+√2≥0
2-2сos²x+(2-√2)cosx+√2-2=0
cosx=a
2a²-(2-√2)a-√2=0
D=4-4√2+2+8√2=4+4√2+2=(√2+2)²
a1=(2-√2-√2-2)/4=-√2/2⇒cosx=-√2/2⇒x=+-3π/4+2πn,n∈z
a2=(2-√2+√2+2)/4=1⇒cosx=1⇒x=2πk,k∈z
2 votes
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Answers & Comments
1. tgх=-1
х = -1 / tg
или: х = -ctg .
3. 2sin2x+√2≥0
2-2сos²x+(2-√2)cosx+√2-2=0
cosx=a
2a²-(2-√2)a-√2=0
D=4-4√2+2+8√2=4+4√2+2=(√2+2)²
a1=(2-√2-√2-2)/4=-√2/2⇒cosx=-√2/2⇒x=+-3π/4+2πn,n∈z
a2=(2-√2+√2+2)/4=1⇒cosx=1⇒x=2πk,k∈z