task/29507989 Решить уравнение : Sin(2x) * cos (45° - x) = 0 . --------------------------
||cos (45°- x) =cos (x - π/4)_четная функция || Sin(2x) * cos (x -π/4 ) = 0 ⇔
[ Sin(2x) =0 ; cos (x -π/4 ) = 0 .
a) sin2x =0 ⇔2x = πn ,n ∈ℤ . ⇒ x =(π/2)*n ,n ∈ℤ .
b) cos (x -π/4 ) = 0⇔x -π/4 = π/2+πn ,n ∈ℤ . ⇒x = 3π/4+πn ,n ∈ℤ .