Упростите уравнение sin(6)x+cos(6)x+3sin(2)xcos(2)x

Question

Упростите уравнение sin(6)x+cos(6)x+3sin(2)xcos(2)x

Answer 1

sin^6(x) + cos^6(x) + 3 * sin^2(x) * cos^2(x) = sin^6(x) + cos^6(x) + 3 * sin^2(x) * cos^2(x) * [ sin^2(x) + cos^2(x) ] = [sin^2(x) + cos^2(x) ]^3 = 1.