Question

Вычислите arccos1 + 2arcsin 1/2

Answer 1

arccos1=2πk, (arcsin 1/2 = π/6 +2πk)∪(arcsin 1/2 = 5π/6 + 2πk)
(2arcsin 1/2 = π/3 +4πk)∪(2arcsin 1/2 = 5π/3 + 4πk)⇒
(arccos1 + 2arsinx 1/2 = π/3 + 6πk)∪(arccos1 + 2arsinx 1/2 = 5π/3 + 6πk)
k∈Z