The length of each of the two equal sides of an isosceles triangle is 10 meters (see figure). The angle between the two sides is θ.
(a) Write the area of the triangle as a function of θ / 2.
(b) Write the area of the triangle as a function of θ. Determine the value of θ such that the area is a maximum.

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10 m 10 m Figure for 7 cos e0 sin 0 Figure for 8