Question

Express
$\frac{(\sqrt{3}\cos {25}^o+\sin {25}^o)}{2}$

Answer 1

$\frac{\sqrt{3}\cos {25}^{\circ }+\sin 25}{2}$

$=\frac{\sqrt{3}}{2}\cos 25+\frac{1}{2}\sin 25$

$=\sin 60.\cos 25+\cos 60.\sin 25$

$\sin (60+25)=\sin \left({85}^{\circ }\right)$ or $\sin (90-5)=\cos 5^{\circ }$