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Riešenie trigonometrickej rovnice
Rieš v \( \mathbb{R} \) rovnicu \( 2 \cos ^{2} x=\sin x+1 \).
\( K=\bigcup_{k \in \mathbb{Z}}\left\{\frac{\pi}{3}+2 k \pi ; \frac{2 \pi}{3}+2 k \pi ; \frac{4 \pi}{3}+2 k \pi\right\} \)
\( K=\bigcup_{k \in \mathbb{Z}}\left\{\frac{3 \pi}{2}+2 k \pi ; \frac{\pi}{6}+2 k \pi ; \frac{5 \pi}{6}+2 k \pi\right\} \)
\( K=\bigcup_{k \in \mathbb{Z}}\left\{\frac{\pi}{6}+2 k \pi ; \frac{\pi}{2}+2 k \pi ; \frac{7 \pi}{6}+2 k \pi\right\} \)
\( K=\bigcup_{k \in \mathbb{Z}}\left\{\frac{\pi}{2}+2 k \pi ; \frac{\pi}{4}+2 k \pi ; \frac{5 \pi}{4}+2 k \pi\right\} \)