Can We Compound The Range?
Geometry
Level
2
\[ | \sin x | \leq 1 \qquad \qquad | \cos x | \leq 1 \]
We know that for all real numbers \(x\), the inequalities above are true. What is the smallest possible value of \(R\) satisfying
\[ | \sin x + \cos x | \leq R ? \]
by
Pranav Saxena