Question

Find value of $\sin {75}^0$

Answer 1

$\sin 75=\sin (45+30)$

$=\sin 45\cos 45+\cos 45\sin 45$

$=\frac{1}{\sqrt{2}}\frac{\sqrt{3}}{2}+\frac{1}{\sqrt{2}}\frac{1}{2}$

$=\frac{\sqrt{3}+1}{2\sqrt{2}}$