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Sargatanasia
@Sargatanasia
August 2022
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Помогите с решением. Лучше бы с картинкой))
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Verified answer
(sin(x))² + (1/2)*2*sin(x)*cos(x) = (sin(x))² + (cos(x))²
sin(x)*cos(x) - (cos(x))² = 0
cos(x) * (sin(x) - cos(x)) = 0
1) cos(x) = 0 ---> x = (π/2) + πk, k∈Z
2) sin(x) - cos(x) = 0
tg(x) = 1 ---> x = (π/4) + πn, n∈Z
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Answers & Comments
Verified answer
(sin(x))² + (1/2)*2*sin(x)*cos(x) = (sin(x))² + (cos(x))²sin(x)*cos(x) - (cos(x))² = 0
cos(x) * (sin(x) - cos(x)) = 0
1) cos(x) = 0 ---> x = (π/2) + πk, k∈Z
2) sin(x) - cos(x) = 0
tg(x) = 1 ---> x = (π/4) + πn, n∈Z