Question

Помогите. Тригонометрия. Sin(n+3x/4)-sin(3n/2-3x/4)=0
2ое фото-мои преобразования

Answer 1

Sin(π+3x/4)-sin(3π/2-3x/4)=0

-sin(3x/4)-cos(3x/4)=0

sin(3x/4)+cos(3x/4)=0

$sqrt{2}$sin(3x/4+π/4)=0

sin(3x/4+π/4)=0

3x/4+π/4=πn, n∈Z

3x/4=πn-π/4, n∈Z

x=(4πn-π)/3, n∈Z