Question

решите уравнение cos²5x+cos5x=2-sin²5x

Answer 1

$cos^25x + cosx5x = 2 - sin^25x \ cos^25x + cos5x = 1 + cos^25x + sin^25x -sin^25x \ cos5x = 1 \ 5x = 2 pi n, n in Z \ boxed{x = frac{2}{5} pi n, n in Z.}$