Решите уравнение: \(\huge sinx= {{ \sqrt {2}} \over {2}}.\) \(\huge {x={{ \pi} \over {4}} +2 \pi k, k \in Z}; \huge {x={{3 \pi} \over {4}} + 2\pi k, k \in Z}\) \(\huge {x={{ \pi} \over {3}} +2 \pi k, k \in Z}; \huge {x={{2 \pi} \over {3}} + 2\pi k, k \in Z}\) \(\huge {x={{ \pi} \over {6}} + \pi k, k \in Z}; \huge {x={{ \pi} \over {5}} + \pi k, k \in Z}\) \(\huge {x={{ \pi} \over {4}} + \pi k, k \in Z}\)

Задание

Решите уравнение: \(\huge sinx= {{ \sqrt {2}} \over {2}}.\)

\(\huge {x={{ \pi} \over {4}} +2 \pi k, k \in Z}; \huge {x={{3 \pi} \over {4}} + 2\pi k, k \in Z}\)
\(\huge {x={{ \pi} \over {3}} +2 \pi k, k \in Z}; \huge {x={{2 \pi} \over {3}} + 2\pi k, k \in Z}\)
\(\huge {x={{ \pi} \over {6}} + \pi k, k \in Z}; \huge {x={{ \pi} \over {5}} + \pi k, k \in Z}\)
\(\huge {x={{ \pi} \over {4}} + \pi k, k \in Z}\)