Question

$sin ( frac{3x}{5} + frac{ pi}{3}) = frac{ sqrt{3}}{2}$

Answer 1

Решение
sin(3x/5 + π/3) = √3/2
3x/5 + π/3 = (-1)^(n)*arcsin(√3/2) + πk, k ∈ Z
3x/5  = (-1)^(n)*(π/3) - π/3 + πk, k ∈ Z
3x  = (-1)^(n)*(5π/3) - 5π/3 + 5πk, k ∈ Z
x  = (-1)^(n)*(5π/9) - 5π/9 + 5πk/3, k ∈ Z