Sin4xcosx-cos4xsinx>-√2/2

Question

Sin4xcosx-cos4xsinx>-√2/2

Answer 1

Решение
Sin4xcosx-cos4xsinx>-√2/2
sin(4x - x) > - √2/2
- arcsin( -√2/2) + 2πk < 3x < π + arcsin(- √2/2) + 2πk, k ∈ Z<br>π/4 + 2πk < 3x < π - π/4  + 2<span>πk, k ∈ Z
π/4 + 2πk < 3x < 3π/4  + 2<span>πk, k ∈ Z
π/12 + 2πk/3 < 3π  + 2<span>πk/3, k ∈ Z