1.

\begin{array}{l}{\sin 120^{\circ}+\tan 150^{\circ} \cdot \cos 135^{\circ}=\frac{3+\sqrt{2}}{2 \sqrt{3}}} \\ {\frac{\sec ^{2} 180^{\circ}+\tan 150^{\circ}}{\csc ^{2} 90^{\circ}-\cot 120^{\circ}}=2-\sqrt{3}} \\ {\frac{\sec ^{2} 180^{\circ}+\tan 45^{\circ}}{\sec ^{2} 180^{\circ}+\tan 45^{\circ}}=3-\sqrt{3}}\end{array}

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