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Určení periody funkce
Urči periodu zadané funkce:
\( \large h\left( x\right) = \sin {\left( \Large \frac{\pi}{2}\large +x \right) } \)
\( \frac{\pi}{2}\ +\ x\ +\ k \pi = \frac{\pi}{2}\ +\ x\ +\ k \ \cdot\ p \)
\( \pi = p \)
\( \frac{\pi}{2}\ +\ x\ +\ 2k \pi = \frac{\pi}{2}\ +\ x\ +\ k \ \cdot\ p \)
\( 2 \pi = p \)
\( \frac{\pi}{2}\ +\ x\ +\ 4k \pi = \frac{\pi}{2}\ +\ x\ +\ k \ \cdot\ p \)
\( 4 \pi = p \)
\( \frac{\pi}{2}\ +\ x\ +\ 3k \pi = \frac{\pi}{2}\ +\ x\ +\ k \ \cdot\ p \)
\( 3 \pi = p \)