Question

Find the value of $\sin \theta +\cos \theta \text{, when}\theta ={45}^{\circ }$.

Answer 1

$\text{When}\theta ={45}^{\circ }$,
$\sin \theta =\frac{1}{\sqrt{2}}and\cos \theta =\frac{1}{\sqrt{2}}$

Hence,
$\begin{array}{cc}\sin \theta +\cos \theta & =\frac{1}{\sqrt{2}}+\frac{1}{\sqrt{2}}\\ & =\frac{2}{\sqrt{2}}\\ & =\sqrt{2}\end{array}$