Evaluate the following expressions. Your answer must be an exact angle in radians and in the interval [π2,π2]\displaystyle {\left[-{\frac{{\pi}}{{{2}}}},{\frac{{\pi}}{{{2}}}}\right]}. For example, type pi/6 for π6\displaystyle \frac{\pi}{{6}}.

tan1(0)=\displaystyle {{\tan}^{{-{1}}}{\left({0}\right)}}=  

tan1(1)=\displaystyle {{\tan}^{{-{1}}}{\left(-{1}\right)}}=  

tan1(3)=\displaystyle {{\tan}^{{-{1}}}{\left(-\sqrt{{{3}}}\right)}}=