Given $\displaystyle {\sin{{\left({A}\right)}}}=\frac{{5}}{{6}}$  and $\displaystyle {\cos{{\left({B}\right)}}}=\frac{{8}}{{9}}$  with both A and B in quadrant I. Find  $\displaystyle {\sin{{\left({A}-{B}\right)}}}$   and  $\displaystyle {\cos{{\left({A}-{B}\right)}}}$ . Give an exact answer.

 $\displaystyle {\sin{{\left({A}-{B}\right)}}}$ = Preview Question 6 Part 1 of 2  

 $\displaystyle {\cos{{\left({A}-{B}\right)}}}$  = Preview Question 6 Part 2 of 2