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\(\cos x = d\)

Корни уравнения:

\( \left[ \begin{aligned} &x\_1= \arccos d+2\pi n,\, n\in\mathbb{Z}\\ &x\_2= - \arccos d +2\pi m,\, m\in\mathbb{Z} \end{aligned} \right.\)

Краткая запись:

\(x = \pm \arccos d + 2\pi n , n \in \Z\)

Например,

\(\cos x =\dfrac{\sqrt{2}}{2}\)

• \(2\pi n\)
• \(2\pi m\)
• \(\pm\)
• \(\dfrac{\pi}{4}\)
• \(-\dfrac{\pi}{4}\)
• \(\dfrac{\pi}{4}\)
• \(2\pi k\)

\(x\_1\) = [ ]+[ ], \(n \in \Z\)

\(x\_2\) = [ ]+[ ], \(m \in \Z\)

\(x\) = [ ][ ]+[ ], \(k \in \Z\)