Предмет: Алгебра, автор: KorolevaElizaveta

Доказать тождество tg t/ tgt + ctgt = sin*2 t

Ответы

Автор ответа: nuli977

[sint/cost]/[sint/cost +cost/sint] = sin²t

[sint/cost]/[(sint*sint + cost*cost)/cost*sint] = sin²t

[sint/cost]/[(sin²t+cos²t)/sint*cost] = sin²t

[sint/cost]/[1/sint*cost] = sin²t

sint/cost * sont*cost = sin²t

sint * sint = sin²t

sin²t = sin²t

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