(Solved): Find the exact values of the six trigonometric functions of the angle. \[ 675^{\circ} \] \[ \begin{ ...

Find the exact values of the six trigonometric functions of the angle. \[ 675^{\circ} \] \[ \begin{array}{l} \sin 675^{\circ}= \\ \cos 675^{\circ}= \\ \tan 675^{\circ}= \end{array} \] (Simplify your answers. Type exact answers, using radicals as needed. Use integers or fractions for any numbers in the expression. Rationalize any denominators.) \[ \begin{array}{l} \csc 675^{\circ}= \\ \sec 675^{\circ}= \\ \cot 675^{\circ}= \end{array} \] (Simplify your answers. Type exact answers, using radicals as needed. Use integers or fractions for any numbers in the expression. Rationalize any denominators.)