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After Thought

Which is larger cos(sin x) or sin(cos x) ? Does this depend on x ?


Stage: 5 Challenge Level: Challenge Level:1
The graph of $y=\sin x$ lies above the line $y=2x/\pi$ joining the origin to the point $(\pi/2, 1)$. The graph of $\sin x$ lies below the line $y=x$. Why? What does this tell you about $\sin x$?