Geometry Refer to the figure, in which a unit circle is

Chapter , Problem 9.4.44

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Geometry Refer to the figure, in which a unit circle is drawn. The line segment DB is tangent to the circle and e is acute. (a) Express the area of AOBC in terms of sin e and cos e. (b) Express the area of AOBD in terms of sin e and cos e. (c) The area of the sector OBC of the circle is e, where e is measured in radians. Use the results of parts (a) and (b) and the fact that Area AOBC < Area OBC < Area AOBD to show that -1 e 1 1 < --sin e < -- cos e y 1 -1 x

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