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polygon ABCDE is inscribed in a semi circle. The two points A and E at locations cos theta and -sin theta on the x-axis respectively, where 0<= theta < pi/2. As point C is fixed on the y-axis, all points except C shift positions where the value of theta changes. At a certain value of theta, it is found that the area of polygon equals to 41/50units square, and the length of AE equals to an irreducible fraction alpha/beta. What are the integers alpha and beta

polygon ABCDE is inscribed in a semi circle. The two points A and E at locations cos theta and -sin theta on the x-axis respectively, where 0<= theta < pi/2. As point C is fixed on the y-axis, all points except C shift positions where the value of theta changes. At a certain value of theta, it is found that the area of polygon equals to 41/50units square, and the length of AE equals to an irreducible fraction alpha/beta. What are the integers alpha and beta

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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a polygon ABCDE is inscribed in a semi circle. The two points A and E at locations cos theta and -sin theta on the x-axis respectively, where 0<= theta < pi/2. As point C is fixed on the y-axis, all points except C shift positions where the value of theta changes. At a certain value of theta, it is found that the area of polygon equals to 41/50units square, and the length of AE equals to an irreducible fraction alpha/beta. What are the integers alpha and beta

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