### Trigonometry: Triangles to Functions

Food for thought

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?