Question

Solve :-
$\sin {45}^{\circ }+\cos {45}^{\circ }$

Answer 1

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

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

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

$=\frac{2}{\sqrt{2}}$

$=\frac{\sqrt{2}.\sqrt{2}}{\sqrt{2}}$

$=\sqrt{2}.$

$\sin {45}^{\circ }+\cos {45}^{\circ }=\sqrt{2}$