
Chatatap
6 год назад
Вычислите arccos1 + 2arcsin 1/2
ОТВЕТЫ

Vianyul
Jul 7, 2019
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
(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
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