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Riešenie trigonometrickej rovnice
Rieš v ℝ rovnicu:
\( \normalsize tg^2x\cdot cos^2x+2sinx+1=0 \)
\( sin\ x = \frac{\sqrt{3}}{2} \)
\( sin\ x = -\frac{\sqrt{3}}{2} \)
\( \large K=\bigcup\limits_{k\in\mathbb{Z}}\left\{\frac{\pi}{3}+k\pi\right\} \)
\( sin\ x = r \)
\( sin\ x = −1 \)
\( \large K=\bigcup\limits_{k\in\mathbb{Z}}\left\{\frac{{3\pi}}{2}+2k\pi\right\} \)
\( sin\ x = \frac{1}{2} \)
\( sin\ x = -\frac{1}{2} \)
\( \large K=\bigcup\limits_{k\in\mathbb{Z}}\left\{\frac{\pi}{6}+k\pi\right\} \)
\( sin\ x = 0 \)
\( sin\ x = 1 \)
\( \large K=\bigcup\limits_{k\in\mathbb{Z}}\left\{k\pi\right\} \)