Question

${sin25}^{\circ }cos65+{cos25}^{\circ }sin65$

Answer 1

We have,

$\sin {25}^o\cos {65}^o+\cos {25}^o\sin {65}^o$

$\Rightarrow \sin ({25}^o+{65}^o)(\therefore \sin A\cos B+\cos A\sin B=\sin (A+B))$

$\Rightarrow \sin {90}^o$

$\Rightarrow 1$

Hence, this is answer.