Question

Решить уравнение sin ^2 (x/4)=3/4

Answer 1

sin²(0.25x) = 3/4

sin(0.25x) = ±✓3/2

1)sin 0.25x =✓3/2

0.25x = (-1)ⁿ•π/3 +πn|•4

x = (-1)ⁿ•4π/3 + 4πn, n€Z

2)sin 0.25x = -✓3/2

0.25x = (-1)^k•(-π/3) + πk

x = (-1)^k+1 • 4π/3 + 4πk