Question 4f(iii)

2 marks · average 0.4 65% scored 0

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The curve is \(y=\sin x+1\) on \(\left[0,\tfrac{5\pi}{2}\right]\), and \(t(x)=\cos(p)(x-p)+\sin(p)+1\) is its tangent at \(x=p\) (from part i). Which values of \(p\) make the tangent cross the \(x\)-axis exactly once, at the same point as the curve?

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