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olgas9494
@olgas9494
July 2022
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cos72*cos18=sin72sin18
Помогите. Спасибо
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Verified answer
Cos72°cos18° = sin72°sin18
Используем формулу sin(90° - a) = cosa.
cos72°cos18° = cos(90° - 72°)cos(90° - 18°)
cos72°cos18° = cos18°cos72°.
Можно доказать по-другому, используя формулу косинуса суммы аргументов:
cos72°cos18° - sin72°sin18° = 0
cos(72° + 18°) = 0
cos90° = 0
0 = 0.
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Answers & Comments
Verified answer
Cos72°cos18° = sin72°sin18Используем формулу sin(90° - a) = cosa.
cos72°cos18° = cos(90° - 72°)cos(90° - 18°)
cos72°cos18° = cos18°cos72°.
Можно доказать по-другому, используя формулу косинуса суммы аргументов:
cos72°cos18° - sin72°sin18° = 0
cos(72° + 18°) = 0
cos90° = 0
0 = 0.