Sin x/3*cos пи/5-cos x/3*sin пи/5=квадратный корень из 2/2

Question

Sin x/3*cos пи/5-cos x/3*sin пи/5=квадратный корень из 2/2

Answer 1

Sin(x/3-π/5)=√2/2
x/3-π/5=π/4+2πn U x/3-π/5=3π/4+2πn
x/3=π/5+π/4+2πn U x/3=π/5+3π/4+2πn
x/3=9π/20+2πn U x/3=19π/20+2πn
x=27π/20+6πn U x=57π/20+6πn,n∈z