Question 27In the adjoining figure, $AB$ is a diameter of the circle, $CD$ is a chord parallel to $AB,$ and $AC$ intersects $BD$ at $E,$ with $\angle AED=\alpha.$ The ratio of the area of $\triangle CDE$ to that of $\triangle ABE$ is $\cos\alpha$$\sin\alpha$$\cos^2\alpha$$\sin^2\alpha$$1-\sin\alpha$
