# 240 Followers Problem - 4

Geometry Level 5

$\large \sin^2 \theta_{1} + \sin^2 \theta_{2} +\sin^2 \theta_{3}$

Given that $$\cos \left( \theta_{1} -\theta_{2} \right) + \cos \left( \theta_{2} -\theta_{3} \right) + \cos \left( \theta_{3} -\theta_{1} \right) = -\dfrac{3}{2}$$, find the value of the expression above.

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