M1
2 marks · average 0.6 59% scored 0
The question in our own words · page 23
The curve is \(y=f(x)=\sin(x)+1\) on \(\left[0,\tfrac{5\pi}{2}\right]\). For some shift \(k\), the height at \(x+k\) matches the height at \(x\) all the way from \(x=0\) to \(x=a\) (both \(a\) and \(k\) lie strictly between \(0\) and \(\tfrac{5\pi}{2}\)). Which \(k\) does it, and how big can \(a\) be?
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