# Trig[o]nometry!

Geometry Level 4

$\displaystyle 4\cos(36^\circ) + \cot(7.5^\circ) = \sqrt a + \sqrt b + \sqrt c + \sqrt d + \sqrt e + \sqrt f$

If the equation above is true for positive integers $$a,b,c,d,e$$ and $$f$$, find the value of $$a^2+b^2+c^2+d^2+e^2+f^2$$.

×