1) 5\cos 14x+\cos 7x-4=0; 2) \dfrac{1}{\cos ^24x}-6\tg 4x+7=0; 3) 4\sin \dfrac{x}{3}-7\cos \dfrac{x}{3}=0; 4) 3\sin ^2\dfrac{x}{5}-7\sin \dfrac{x}{5}\cos \dfrac{x}{5}+4\cos ^2\dfrac{x}{5}=0; 5) 2\sin 3x+5\cos 3x=2; 6) \sqrt{\cos 2x}=\cos x.

Задание

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Реши уравнения:

\(5\cos 14x+\cos 7x-4=0\) ;
\(\dfrac{1}{\cos ^24x}-6\tg 4x+7=0\) ;
\(4\sin \dfrac{x}{3}-7\cos \dfrac{x}{3}=0\) ;
\(3\sin ^2\dfrac{x}{5}-7\sin \dfrac{x}{5}\cos \dfrac{x}{5}+4\cos ^2\dfrac{x}{5}=0\) ;
\(2\sin 3x+5\cos 3x=2\) ;
\(\sqrt{\cos 2x}=\cos x\) .