\begin{array}{l}{4\left(\sin ^{4} 30^{\circ}+\cos ^{4} 60^{\circ}\right)-3\left(\cos ^{2} 45^{\circ}-\sin ^{2} 90^{\circ}\right)=2} \\ {\sin 60^{\circ}=2 \sin 30^{\circ} \cos 30^{\circ}}\end{array}\begin{array}{l}{\cos 2 A=\cos ^{4} A-\sin ^{4} A} \\ {\frac{\cos ^{3} A-\cos 3 A}{\cos A}+\frac{\sin ^{3} A+\sin 3 A}{\sin A}=3}\end{array}

\begin{array}{l}{4\left(\sin ^{4} 30^{\circ}+\cos ^{4} 60^{\circ}\righ

1.	\begin{array}{l}{4\left(\sin ^{4} 30^{\circ}+\cos ^{4} 60^{\circ}\right)-3\left(\cos ^{2} 45^{\circ}-\sin ^{2} 90^{\circ}\right)=2} \\ {\sin 60^{\circ}=2 \sin 30^{\circ} \cos 30^{\circ}}\end{array}\begin{array}{l}{\cos 2 A=\cos ^{4} A-\sin ^{4} A} \\ {\frac{\cos ^{3} A-\cos 3 A}{\cos A}+\frac{\sin ^{3} A+\sin 3 A}{\sin A}=3}\end{array}
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