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Mathematics
Mathematics
Problem
An isosceles
△
i
s
\triangle is
△
i
s
inscribed in a circle of radius
R
R
R
. Express the area of the
△
a
s
\triangle as
△
a
s
a function of the semi-vertical angle
θ
\theta
θ
at the vertex, and hence determine the value of
θ
\theta
θ
that maximizes the area of the triangle.
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