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boltsasha
@boltsasha
August 2022
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докажите тригонометрическое тождество:
sin⁴a + cos⁴a-1 = - 2sin²a · cos²a
(с решением!)
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Gerren
Перенесем -1 вправо,а
- 2sin²a ·*cos²a влево
sin(a)^4+2sin(a)^2*cos(a)^2+cos(a)^2=1
(sin(a)^2)+cos(a)^2)^2=1
1=1
1 votes
Thanks 1
Gerren
косинус в 4-й степени
Gerren
сворачиваем в квадрат суммы
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Answers & Comments
sin(a)^4+2sin(a)^2*cos(a)^2+cos(a)^2=1
(sin(a)^2)+cos(a)^2)^2=1
1=1