Question

Решите уравнение.
sinx+sin(n+x)-2cos(n/2-x)=1

Answer 1

sin(π+x) = -sinx
cos(π/2 - x) = sinx
sinx - sinx - 2sinx = 1
sinx = -1/2
x = -π/6 + 2πk, k∈Z
x = -5π/6 + 2πk, k∈Z