Tg^2(7p/24)-tg^2(p/24) / 1-tg^2(7p/24)*tg^2(p/24) - вопрос №579189272422412724224 от igubanova 28.12.2020 11:53

Question

Алгебра: Tg^2(7p/24)-tg^2(p/24) / 1-tg^2(7p/24)*tg^2(p/24) решите

igubanova · Answer

= [(tg7π/24 - tgπ/24)(tg7π/24 + tgπ/24)] / [(1-tg7π/24*tgπ/24)(1+tg7π/24*tgπ/24)] = [(tg7π/24 - tgπ/24)/(1+tg7π/24*tgπ/24)] * [(tg7π/24 + tgπ/24) / (1-tg7π/24*tgπ/24)] = tg(7π/24 - π/24) * tg(7π/24 + π/24) = tgπ/4 * tgπ/3 = 1 * √3 = √3...