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If $\operatorname{Cos} 13^{\circ}=\alpha$, write the following expressions in terms of $\alpha$, without using a calculator. Show all steps needed

1. $\operatorname{Cos} 193^{\circ}$

2. $\sin 257^{\circ}$
3. $\operatorname{Tan} 13^{\circ}$
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