Задача 75930 ...

632f635587d19127bff140f0

2/20/2024 7:19:36 PM

Найдите x: ctg (π/4-x/2)=-1 Ответы: -π/4-πn, -π-2πn, 3π/4-πn, 2πn.

5f3ea7e3faf909182968ddd9

2/21/2024 6:26:52 AM

★

ctg ((π/4)–(x/2))=–1

(π/4)–(x/2)=(-π/4)+πn, n ∈ [b]Z[/b]


–(x/2)=(-π/4)-(π/4)+πn, n ∈ [b]Z[/b]

–(x/2)=(-π/2)+πn, n ∈ [b]Z[/b]

(x/2)=(π/2)-πn, n ∈ [b]Z[/b]

-n=k

(x/2)=(π/2)+πk, k ∈ [b]Z[/b]


x=π+2πk, k ∈ [b]Z[/b] -


о т в е т из приведенных

–π–2πn