olymmath

HMMT 1999 K2

  • Calculus
  • Answer

A rectangle has sides of length sin⁡x\sin x and cos⁡x\cos x for some xx. What is the largest possible area of such a rectangle?

Dataset text NuminaMath olympiads. Quoted with source.

Show the answer

\frac{1}{2}

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.

Add a solution

Similar problems

These problems have the most words in common with this statement.

Locator hmmt/1999/k2 · Tag WRT7SW0BNE · Edit this page on GitHub · Keys: j next, k previous