The value of sin 47° + sin61° -sin11° -sin25° is

$\begin{array}{l}\left(\sin {47}^{\circ }+\sin {61}^{\circ }\right)-\left(\sin {11}^{\circ }+\sin {25}^{\circ }\right)\\ =2\sin {54}^0\cos 7^0-2\sin {18}^0\cos 7^0\\ 2\cos 7^0\left[\sin {54}^0-\sin {18}^0\right]\\ =2\cos 7^0\cdot 2\cos {36}^0\cdot \sin {18}^0=\cos 7^{\circ }\end{array}$