Автор - 9Lucky

Упростить выражение: 1-tg15/1+tg75

Ответ

Автор - yellok
 frac{1-tg15}{1+tg75} = frac{1-tg15}{1+tg(90-15)}= frac{1-tg15}{1-ctg15}  = frac{1-tg15}{1-frac{1}{tg15} } = frac{tg15(1-tg15)}{tg15-1} == -frac{tg15(1-tg15)}{1-tg15} =-tg15

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