√2cosx/4=-1 cosx/4= - 1/√2 cosx/4= - √2/2 продолжите - вопрос №7781275241412422 от Omarovaro 24.05.2020 23:34

Question

Математика: √2cosx/4=-1 cosx/4= - 1/√2 cosx/4= - √2/2 продолжите

Omarovaro · Answer

cos(x/4)= - √2/2x/4 =  ±arccos(-√2/2) + 2πn, n ∈ Zx/4 = ±(π - arccos(√2/2) + 2πn, n ∈ Zx/4 = ±(π - π/4) + 2πn, n ∈ Zx/4 = ±3π/4 + 2πn, n ∈ Zx = ±3π + 8πn, n ∈ Zответ: x = ±3π + 8πn, n ∈ Z....