Question

Sin40/41cos24/25+cos40/41sin24/25

Answer 1

Explanation:

`\sin(40)/(41)\cos(24)/(25)+\cos(40)/(41)\sin(24)/(25)\\\\\text{Use}\ \sin(x+y)=\sin x\cos y+\sin y\cos x\\\\=\sin\left((40)/(41)+(24)/(25)\right)=\sin\left(((40)(25))/((41)(25))+((41)(24))/((41)(25))\right)\\\\=\sin\left((1000+984)/(1025)\right)=\sin(1984)/(1025)\approx0.9342`