Question

Evaluate the following.
$\sin {45}^{\circ }+\cos {45}^{\circ }$

Answer 1

Given, $\sin {45}^{\circ }+\cos {45}^{\circ }$

$=\frac{1}{\sqrt{2}}+\frac{1}{\sqrt{2}}$
$=\frac{2}{\sqrt{2}}$
$=\sqrt{2}$. [Since, $2=\sqrt{2}\times \sqrt{2}$]
Hence, the value of the given expression is $\sqrt{2}$.