Question

Find the range of: $\left|\sin x\right|+\left|\cos x\right|$

Answer 1

Graphs of $|\sin x|,|\cos x|,|\sin x|+|\cos x|$

$\Rightarrow$ sum goes tron $(1+0)$ to $(\frac{1}{\sqrt{2}}+\frac{1}{\sqrt{2}})$

$\Rightarrow$ Sum goes tron $1$ to $\sqrt{2}$