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Задание: Найти все значения х, при которых равны значения данных функций.
f(x) = cos^4x – sin^4x и g(x)= 2√3 sinx cosx
Ответы 1
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cos⁴x-sin⁴x=2√3sinxcosx(cos²x)²-(sin²x)²=2√3sinxcosx(cos²x-sin²x)(cos²x+sin²x)=2√3sinxcosxcos²x-sin²x=√3sin2xcos2x=√3sin2x√3sin2x/cos2x=1tg2x=1/√32x=arctg1/√3+πn arctg1/√3=π/62x=π/6+πnx=π/12+πn/2 n∈Z
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Автор:
cyrus95 - 6 лет назад
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