Question

Помогите срочно тригонометрия, задание 2.1

Answer 1

sin²(x+ π/3)=1+cos²(x+ π/3)
0=1-sin²(x + π/3) + cos²(x + π/3)
0=cos²(x+π/3) + cos²(x+π/3)
2cos²(x+π/3)=0
cos²(x+π/3)=0
cos(x+π/3)=0
x+π/3= π/2 + πk, k∈Z
x=π/2 - π/3 + πk
x= π/6 + πk, k∈Z

Ответ: π/6 + πk, k∈Z.