Evaluate the following expressions. Your answer must be an angle in radians and in the interval [−π2,π2]\displaystyle {\left[-{\frac{{\pi}}{{{2}}}},{\frac{{\pi}}{{{2}}}}\right]}.

(a) sin⁡−1(22)=\displaystyle {{\sin}^{{-{1}}}{\left({\frac{{\sqrt{{{2}}}}}{{{2}}}}\right)}}=  

(b) sin⁡−1(1)=\displaystyle {{\sin}^{{-{1}}}{\left({1}\right)}}=  

(c) sin⁡−1(−22)=\displaystyle {{\sin}^{{-{1}}}{\left(-{\frac{{\sqrt{{{2}}}}}{{{2}}}}\right)}}=  

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