Trigonometry I

Geometry Level 3

If sinx+cosx=3+12\displaystyle sin x + cos x = \frac{\sqrt{3} + 1}{2}

tanx+cotx=a+bc\displaystyle \tan x + \cot x = \frac{\sqrt{a} + b}{c}

Find a+b+c\displaystyle a+b+c

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