Решите тригонометрические уравнения: 1

kykyma @kykyma

July 2022 1 5 Report

Решите тригонометрические уравнения:

1 - 6cos² x = 2sin 2x + cos 2x

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sedinalana

Verified answer

Sin²x+cos²x-6сos²x-4sinxcosx-cos²x+sin²x=0/cos²x
2tg²x-4tgx-6=0
tg²x-2tgx-3=0
tgx=a
a²-2a-3=0
a1+a2=2 U a1*a2=-3
a1=-1⇒tgx=-1⇒x=-π/4+πn,n∈z
a2=3⇒tgx=3⇒x=arctg3+πk,k∈z

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Answers & Comments

Verified answer

vyrazite v radiannoj mere velichiny uglov 45 gradusov 36 gradusov 180 gradusov

2x=-2(1-x)...

reshite dva uravneniyaf098ef813fda5000336640a91d0e9058 88355

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