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Trigonometry

Trigonometry

IP 3

In the diagram, \(BC = 1\) cm, angle \(BAC = 90^\circ\). \(P\) lies on \(BA\) produced such that \(PB = 2AC\). Find the minimum value of \(PC\), leaving your answer in the exact form.

Solution:

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Answer:No attained minimum as stated. \(PC>1/\sqrt5\text{ cm}\), with infimum \(1/\sqrt5\text{ cm}\).

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