Question

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

Answer 1

$\sin {45}^{\circ }+\cos {45}^{\circ }=\frac{1}{\sqrt{2}}+\frac{1}{\sqrt{2}}$

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

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

$=\frac{(\sqrt{2}{)}^2}{\sqrt{2}}$

$=(\sqrt{2}{)}^{2-1}$

$=\sqrt{2}$