The diagram shows part of the line y = 1 and one complete period of the curve y = 1+cosx, where x is in radians. The line PQ is a tangent to the curve at P and at Q. The line QR is parallel to the y-axis. Area A is enclosed by the line y = 1 and the curve. Area B is enclosed by the line y = 1, the line PQ and the curve. Given that area A: area B is 1:k find the exact value of k. [Figure 11]
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