Answer
$\frac{\sqrt 3 +1}{2\sqrt 2}$
Work Step by Step
$\sin\frac{7π}{12}$= $\sin(\frac{π}{3}+\frac{π}{4})$
=$\sin\frac{π}{3}\cos\frac{π}{4}+\cos\frac{π}{3}\sin\frac{π}{4}$
=$\frac{\sqrt 3}{2}×\frac{1}{\sqrt 2}+\frac{1}{2}×\frac{1}{\sqrt 2}$ = $\frac{\sqrt 3 +1}{2\sqrt 2}$
