Find the value of  \(\frac{sin90°\;+\;sin45°}{cosec90°\;+\;tan45°}\) .

\(\frac{2+\sqrt {2}}{6}\) \(\frac{2+\sqrt {2}}{2}\) \(\frac{2+\sqrt {2}}{4}\) \(\frac{2+\sqrt {2}}{3}\)

\(\frac{2+\sqrt {2}}{4}\)

⇒ \(\frac{sin90°\;+\;sin45°}{cosec90°\;+\;tan45°}\) = \(\frac{1+\frac{1}{\sqrt {2}}}{1+1}\) = \(\frac{\sqrt {2}+1}{2\sqrt {2}}\) = \(\frac{\sqrt {2}+1}{2\sqrt {2}}\)×\(\frac{\sqrt {2}}{\sqrt {2}}\) = \(\frac{2+\sqrt {2}}{4}\)