Решить уравнение
[tex] \sin( {x }^{2} - 1 ) = \frac{1}{ \sqrt{2} } [/tex]
[tex] \sin( {x }^{2} - 1 ) = \frac{1}{ \sqrt{2} } [/tex]
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Ответ:
Объяснение:
x² - 1 = (-1)^n arcsin(√2/2) + πn, n ∈ Z
x² - 1 = (-1)^n (π/4) + πn, n ∈ Z
x² = (-1)^n (π/4) +1 + πn, n ∈ Z
x = ± [ (-1)^n (π/4) +1 + πn, n ∈ Z]