Вычислите √2sinπ/4+√2cosπ/4=???
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Ответил hlopushinairina
0
√2sinπ/4+√2cosπ/4=2(√2/2sinπ/4+√2/2cosπ/4);
√2/2=cosπ/4;√2/2=sinπ/4;⇒
2(cosπ/4·sinπ/4+sinπ/4·cosπ/4)=2·sin(π/4+π/4)=2·sinπ/2=2·1=2;
√2/2=cosπ/4;√2/2=sinπ/4;⇒
2(cosπ/4·sinπ/4+sinπ/4·cosπ/4)=2·sin(π/4+π/4)=2·sinπ/2=2·1=2;
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