Question

f(x) = 1/2 cos x/2 + 1/2 sin x/2

Answer 1

Ответ:

(sin x/2-cos x/2)²=1/2

sin² x/2 + 2sinx/2 * cosx/2 + cos² x/2 = 1/2

2sinx/2 * cosx/2 = 1/2 - 1

2sinx/2 * cosx/2 = - 1/2

sinx = - 1/2

x = (-1)^n * arcsin(-1/2) + πk, k ∈ Z

x = (-1)(n+1) * arcsin(1/2) + πk, k ∈ Z

x = (-1)(n+1) * (π/6) + πk, k ∈ Z

Пошаговое объяснение: