Suggestion

Which is larger: \(\sin(\cos x)\) or \(\cos(\sin x)\)?

Does it depend on \(x\)?

  • What are the minimum and maximum values of \(\sin x\) and \(\cos x\)?

  • Where are \(\sin x\) and \(\cos x\) positive or negative?

  • Where are \(\sin x\) and \(\cos x\) increasing or decreasing?