Преобразуйте в произведение Sin4B+sin10B+sin22B+sin16B

Sin (4B) + sin (10B) + sin (22B) + sin (16B) = (Sin (4B) + sin (10B)) + (sin (22B) + sin (16B)) = 2 * sin ((4B + 10 B)/2) * cos ((4B - 10 B)/2) + 2 * sin ((22B + 16B)/2) * cos ((22B - 16B)/2) = 2 * sin (14B/2) * cos (- 6B/2) + 2 * sin (38B/2) * cos (6B/2) = 2 * sin (7B) * cos (- 3B) + 2 * sin (14B) * cos (3B) = 2 * sin (7B) * cos (3B) + 2 * sin (14B) * cos (3B) = 2 * cos (3B) * (sin (7B) + sin (14B)) = 2 * cos (3B) * 2 * sin ((7B + 14B)/2) * cos ((7B - 14B)/2) = 2 * cos (3B) * 2 * sin (21B/2) * cos (- 7B/2) = 4 * cos (3B) * sin (21B/2) * cos (7B/2).